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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

Respuesta :

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

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