Question Solve the quadratic equation $2x^2 - x = 2$ by graphing. Round each solution to the nearest tenth.

Studdy Solution

STEP 1

Assumptions1. The equation to solve is $x^ - x =$ . The solution is obtained by graphing and rounding each answer to the nearest tenth3. The options provided are $-0.5,1.8$ , $-1,1.3$ , $-0.8,1.3$ , $1.1,-1.5$

STEP 2

First, we need to rewrite the equation in the standard form of a quadratic equation, which is $ax^2 + bx + c =0$ . To do this, we subtract2 from both sides of the equation.
$2x^2 - x -2 =0$

STEP 3

Now, we can graph the equation $2x^2 - x -2 =0$ . This is a parabola that opens upwards since the coefficient of $x^2$ is positive.

STEP 4

The solutions to the equation are the x-coordinates where the graph intersects the x-axis. These are the points where the value of the function is zero.

STEP 5

By graphing the equation, we can visually estimate the solutions and then round each answer to the nearest tenth.

STEP 6

After graphing, we can see that the graph intersects the x-axis at approximately $x = -0.5$ and $x =1.8$ .So, the solutions to the equation are $x = -0.5$ and $x =1.8$ .

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Question Solve the quadratic equation $2x^2 - x = 2$ by graphing. Round each solution to the nearest tenth.

Studdy Solution

STEP 1

Assumptions1. The equation to solve is $x^ - x =$ . The solution is obtained by graphing and rounding each answer to the nearest tenth3. The options provided are $-0.5,1.8$ , $-1,1.3$ , $-0.8,1.3$ , $1.1,-1.5$

STEP 2

First, we need to rewrite the equation in the standard form of a quadratic equation, which is $ax^2 + bx + c =0$ . To do this, we subtract2 from both sides of the equation.
$2x^2 - x -2 =0$

STEP 3

Now, we can graph the equation $2x^2 - x -2 =0$ . This is a parabola that opens upwards since the coefficient of $x^2$ is positive.

STEP 4

The solutions to the equation are the x-coordinates where the graph intersects the x-axis. These are the points where the value of the function is zero.

STEP 5

By graphing the equation, we can visually estimate the solutions and then round each answer to the nearest tenth.

STEP 6

After graphing, we can see that the graph intersects the x-axis at approximately $x = -0.5$ and $x =1.8$ .So, the solutions to the equation are $x = -0.5$ and $x =1.8$ .

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Question Solve the quadratic equation 2x2−x=22x^2 - x = 22x2−x=2 by graphing. Round each solution to the nearest tenth.

Studdy Solution

STEP 1

Assumptions1. The equation to solve is x−x=x^ - x =x−x= . The solution is obtained by graphing and rounding each answer to the nearest tenth3. The options provided are −0.5,1.8-0.5,1.8−0.5,1.8, −1,1.3-1,1.3−1,1.3, −0.8,1.3-0.8,1.3−0.8,1.3, 1.1,−1.51.1,-1.51.1,−1.5

STEP 2

First, we need to rewrite the equation in the standard form of a quadratic equation, which is ax2+bx+c=0ax^2 + bx + c =0ax2+bx+c=0. To do this, we subtract2 from both sides of the equation.2x2−x−2=02x^2 - x -2 =02x2−x−2=0

STEP 3

Now, we can graph the equation 2x2−x−2=02x^2 - x -2 =02x2−x−2=0. This is a parabola that opens upwards since the coefficient of x2x^2x2 is positive.

STEP 4

The solutions to the equation are the x-coordinates where the graph intersects the x-axis. These are the points where the value of the function is zero.

STEP 5

By graphing the equation, we can visually estimate the solutions and then round each answer to the nearest tenth.

STEP 6

After graphing, we can see that the graph intersects the x-axis at approximately x=−0.5x = -0.5x=−0.5 and x=1.8x =1.8x=1.8.So, the solutions to the equation are x=−0.5x = -0.5x=−0.5 and x=1.8x =1.8x=1.8.

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Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Question Solve the quadratic equation $2x^2 - x = 2$ by graphing. Round each solution to the nearest tenth.

Assumptions1. The equation to solve is $x^ - x =$ . The solution is obtained by graphing and rounding each answer to the nearest tenth3. The options provided are $-0.5,1.8$ , $-1,1.3$ , $-0.8,1.3$ , $1.1,-1.5$

First, we need to rewrite the equation in the standard form of a quadratic equation, which is $ax^2 + bx + c =0$ . To do this, we subtract2 from both sides of the equation.
$2x^2 - x -2 =0$

Now, we can graph the equation $2x^2 - x -2 =0$ . This is a parabola that opens upwards since the coefficient of $x^2$ is positive.

After graphing, we can see that the graph intersects the x-axis at approximately $x = -0.5$ and $x =1.8$ .So, the solutions to the equation are $x = -0.5$ and $x =1.8$ .