Question

Write the quadratic equation in standard form that
has roots x= 0 and x = 6/5

Answer 1

A quadratic equation that has roots x=0 and x=6/5 can be derived by

(x-0)(x-6/5) = 0

x(x-6.5)= 0

x^2 - 6.5x =0

To get it in its standard form, you need to complete the square of the quadratic function aka get it in the form of x^2+ 2ax+ a^2.

x^2 -6.5x + (-6.5/2)^2 - (-6.5/2)^2=0

(x- 6.5/2)^2 - (-6.5/2)^2=0