Question

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

Answer 1

Answer: 4x² - 9x + 20

Explanation:

• General quadratic equation:

`{ \rm{ {x}^(2) - (sum \: of \: roots)x + (product \: of \: roots) }}`

• sum of roots → 4 + 5 = 9

• product of roots → 4 × 5 = 20

• substitute:

`{ \boxed{ \rm{4 {x}^(2) - 9x + 20 }}}`