Math  /  Algebra

QuestionFind all the real zeros of f(x)=x45x311x2+79x84f(x)=x^{4}-5 x^{3}-11 x^{2}+79 x-84. Enter the zeros separated by commas. Enter exact values, not decimal approximations. \square Submit Question

Studdy Solution
Solve the quadratic equation x26x+7=0 x^2 - 6x + 7 = 0 using the quadratic formula:
x=b±b24ac2a x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}
where a=1 a = 1 , b=6 b = -6 , and c=7 c = 7 .
x=(6)±(6)241721 x = \frac{-(-6) \pm \sqrt{(-6)^2 - 4 \cdot 1 \cdot 7}}{2 \cdot 1} x=6±36282 x = \frac{6 \pm \sqrt{36 - 28}}{2} x=6±82 x = \frac{6 \pm \sqrt{8}}{2} x=6±222 x = \frac{6 \pm 2\sqrt{2}}{2} x=3±2 x = 3 \pm \sqrt{2}
The real zeros of the polynomial are:
3,4,3+2,32 \boxed{3, -4, 3 + \sqrt{2}, 3 - \sqrt{2}}

View Full Solution - Free
Was this helpful?

Studdy solves anything!

banner

Start learning now

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

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord