Question

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

Answer 1

To form the quadratic equation, form II equations;
(x-(
`(-5)/(4)`)(x-8)=0
(
`x+(5)/(4) )`(x-8)=0
Open the brackets;
x(x-8)+
`(5)/(4)`(x-8)=0

`x^(2) -8x+ (5)/(4) x-10=0`

`x^(2) - (32)/(4) x- (5)/(4) x-10=0`

`x^(2) - (27)/(4) x-10=0`
This can be simplified to;

`4x^(2) -27x-40=0`