Write a quadratic equation with the given roots write the equation in the form ax^2+bx+c=0 where a,b,and c are integers -5/4 and

Question

Len [333]

3 years ago

9

Write a quadratic equation with the given roots write the equation in the form ax^2+bx+c=0 where a,b,and c are integers -5/4 and

8

Mathematics

1 answer:

Alecsey [184] · Answer 1 · 2022-03-30T12:14:46+03:00

Alecsey [184]3 years ago

8 0

To form the quadratic equation, form II equations;
(x-( $\frac{-5}{4}$ )(x-8)=0
( $x+\frac{5}{4} )$ (x-8)=0
Open the brackets;
x(x-8)+ $\frac{5}{4}$ (x-8)=0
$x^{2} -8x+ \frac{5}{4} x-10=0$
$x^{2} - \frac{32}{4} x- \frac{5}{4} x-10=0$
$x^{2} - \frac{27}{4} x-10=0$
This can be simplified to;
$4x^{2} -27x-40=0$