Question

the solution set of x²-x-2=0

Answer 1

X2 – x – 2 = 0

X2 – 2x + x – 2 = 0

X(x – 2) + 1(x – 2)

(x + 1) (x – 2)

X = -1     x = 2    AnSwEr

Answer 2

Answer:

The solution set of   x²-x-2=0  = {-1,2}

Step-by-step explanation:

Given quadratic equation is x²-x-2=0

To find, the solution set of the given quadratic equation

Solution:

Recall the concept:

The solution of a quadratic equation is the value of the variable in the equation which satisfies the equation.

To find the solution set, we need to factorize the given equation x²-x-2=0

To find factorize by middle term splitting, we get

x²-x-2 = x² - 2x + x - 2

= x(x-2)+1(x-2)

= (x+1)(x-2)

x²-x-2 = (x+1)(x-2)

x²-x-2 = 0 ⇒(x+1)(x-2) = 0

⇒ x = -1 and x = 2

The value of x satisfies the equation is  x²-x-2=0 is x = -1 and x = 2

∴ The solution set of   x²-x-2=0  = {-1,2}

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