Question

solve the following eqn
${x}^{2} - x - 2$
​

Answer 1

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x²-x-2

x²-2x+x-2

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

=(x-2)(x+1)

HENCE ,THE FACTOR ARE.

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Answer 2

Answer:

x= -1 and 2✔✔✔✔

Step-by-step explanation:

SOLUTION-

${x}^{2} - x - 2 \\ by \: middle \: term \: spliiting \: method \\ {x}^{2} - 2x + x - 2 \\ =x(x - 2) + 1(x - 2) \\ = (x + 1)(x - 2) \\ first \: root = \: - 1 \\ second \: root = 2 \\ \\ second \: method \\using \: quadratic \: formula \\ d = {b}^{2} - 4ac \\ \: \: \: \: = {1}^{2} - 4 \times 1 \times - 2 \\ \: \: \: \: = 1 + 8 \\ \: \: \: \: = 9 \\ x = \frac{ - b + \sqrt{d} }{2a} \: \: \: \: \: \: \frac{ - b - \sqrt{d} }{2a} \\ \: \: \: \: = \frac{1 + 3}{2} \: \: \: \: \: \: \: \frac{1 - 3}{2} \\ \: \: \: \: = \frac{4}{2} \: \: \: \: \: \: \frac{ - 2}{2 } \\ x = 2 \: and \: - 1$