the roots of the equation X square minus x minus 2 equal to zero
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The roots of the equation x²-x-2 = 0 are 2 and -1.
Given,
A quadratic equation x²-x-2 = 0.
To Find,
The roots of the equation.
Solution,
The given quadratic equation is
x²-x-2 = 0
Using the middle-term splitting method
x²-x-2 = 0
Splitting the middle-term -x as -2x+x
x²-2x+x-2 = 0
x(x-2)+1(x-2) = 0
(x-2)(x+1) = 0
x = 2 or -1.
Hence, the roots of the equation x²-x-2 = 0 are 2 and -1.
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