SOLUTION: Form the quadratic equation in t whose roots are 2+-√11 t^2+4t+7=0 t^2+4t-7=0 t^2-4t-7=0

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: Form the quadratic equation in t whose roots are 2+-√11 t^2+4t+7=0 t^2+4t-7=0 t^2-4t-7=0      Log On


   

Question 1136788: Form the quadratic equation in t whose roots are 2+-√11
t^2+4t+7=0
t^2+4t-7=0
t^2-4t-7=0
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Use Vieta's Theorem, which says that in the quadratic equation

at%5E2%2Bbt%2Bc=0

the sum of the roots is -b/a and the product of the roots is c/a.

Given the two roots 2%2Bsqrt%2811%29 and 2-sqrt%2811%29, the sum of the roots is 4 and the product of the roots is -7. That makes the equation

t%5E2-4t-7+=+0