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-($\frac{-5}{4}$)(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;
$4x^{2} -27x-40=0$