Question

Write the quadratic equation whose roots are 3/2 and 4

Answer 1

see explanation

Explanation:

Given that x =
`(3)/(2)` and x = 4 are roots, then

(x -
`(3)/(2)`) and (x - 4) are factors

The quadratic is the product of it's factors, thus

(x -
`(3)/(2)`)(x - 4) = 0 ← expand using Foil

x² -
`(11)/(2)` x + 6 = 0, or

2x² - 11x + 12 = 0 ( multiplying through by 2 )