Question

x²-10x-24=0
solve from this method​

Answer 1

Answer:

12 and -2.

Step-by-step explanation:

Given:

x² - 10x - 24 = 0

We have:

a = 1

b = -10

c = -24

We know:

Discriminant (D):

• b² - 4ac

⇒ (-10)² - 4(1)(-24)

⇒ 100 + 96

∴ 196

• Therefore the equation has two real and distinct roots since D > 0.

We know:

Quadratic formula:

• -b ± √b² - 4ac/2a

⇒ -(-10) ± √196/2(1)

⇒ 10 + 14/2 & 10 - 14/2

⇒ 24/2 & -4/2

∴ 12 & -2 are the factors of x² - 10x - 24.