Question

Write a quadratic equation that has the solutions 1/6 and -2/5​

Answer 1

(x^2)-((78/5)x)-(32/5)

Explanation:

THe solutions of the quadratic equation are the zeroes, which are the x-intercepts.

A common way to write quadratic equations is:

(X-a)(x-b) This is where a and b are the solutions. So:

Y= (X-1/6)(x+(2/5))

We can then expand this equation by multiplying.

(X-16)(x+(2/5))= (x*x)+ ((2/5)*x)-(16*x)-(16*(2/5))= (x^2)+((2/5)x)-16x-(32/5)= (x^2)-(78/5)x-(32/5).

Hope this helps! (Please reply questions if you don’t understand.)