Answer:
x = - 2, x = 12
Step-by-step explanation:
Given
x² - 10 x = 24 ( subtract 24 from both sides )
x² - 10x - 24 = 0 ← in standard form
To factorise the quadratic
Consider the factors of the constant term (- 24) which sum to give the coefficient of the x- term (- 10)
The factors are - 12 and + 2, since
- 12 × 2 = - 24 and - 12 + 2 = - 10, thus
(x - 12)(x + 2) = 0
Equate each factor to zero and solve for x
x - 12 = 0 ⇒ x = 12
x + 2 = 0 ⇒ x = - 2
The solution of this quadratic equation to x² – 10 x = 24 is x = - 2 & x = 12
A quadratic is a sort of problem that deals with a variable accelerated by using an operation called squaring. This language derives from the area of a rectangular being its facet period expanded with the aid of itself. The phrase "quadratic" comes from quadrant, the Latin word for square.
x² – 10 x = 24
⇒ x² +2X -12X -24 = 0
⇒ x (x - 2) -12(x - 2) =0
⇒ x = 12 OR ( x = -2)
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