Question

Please solve by factorising

Answer 1

Answer:

3/4 or 5

Step-by-step explanation:

Use the quadratic formula

Answer 2

Answer:

x = $\frac{3}{4}$ , 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 = $\frac{3}{4}$