Question

Write the quadratic equation whose roots are 6 and 5, and whose leading coefficient is 4.

(use the letter x to represent the variable.)

Answer 1

y = 4x² - 44x + 120

Explanation:

The formula to solve this will be;

y = c(x - a)(x - b)

Where;

c is the leading coefficient

a and b are the roots

Now, we are given that the roots are 6 and 5, while leading coefficient is 4.

Thus, equation is;

y = 4(x - 5)(x - 6)

Expanding gives;

y = 4(x² - 5x - 6x + 30)

y = 4(x² - 11x + 30)

y = 4x² - 44x + 120