Answer:
x = [tex]\frac{3}{4}[/tex] , x = 5
Step-by-step explanation:
4x² - 23x + 15 = 0
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 4 × 15 = 60 and sum = - 23
The factors are - 20 and - 3
Use these factors to split the x- term
4x² - 20x - 3x + 15 = 0 ( factor the first/second and third/fourth terms )
4x(x - 5) - 3(x - 5) = 0 ← factor out (x - 5) from each term
(x - 5)(4x - 3) = 0
Equate each factor to zero and solve for x
x - 5 = 0 ⇒ x = 5
4x - 3 = 0 ⇒ 4x = 3 ⇒ x = [tex]\frac{3}{4}[/tex]
