Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Oct 27, 2023

Find the discriminant of the quadratic function $f(x) = x^2 + 8x - 15$ .

STEP 1

Assumptions1. The function is a quadratic function of the form $f(x) = ax^ + bx + c$ . The coefficients are $a =1$ , $b =8$ , and $c = -15$
3. The discriminant of a quadratic function is given by $= b^ -4ac$

STEP 2

First, we need to find the discriminant of the function. We can do this by substituting the coefficients into the formula for the discriminant.
$= b^2 -4ac$

STEP 3

Now, plug in the given values for the coefficients $a$ , $b$ , and $c$ to calculate the discriminant.
$=8^2 -(1)(-15)$

STEP 4

Calculate the discriminant.
$=64 - (-60)$

STEP 5

implify the expression to find the discriminant.
$=64 +60 =124$ The discriminant of the function $f(x)=x^{2}+8 x-15$ is124.

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