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Solve the equation: x²− 3x − 10 = 0

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a

x = - 5 or x = 2

b

x = 5 or x = - 2

c

x = 5 or x = 2

d

x = - 5 or x = - 2

answer is B.

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Detailed Solution

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Given quadratic equation: x²− 3x − 10 = 0

=> x2 - 5x + 2x - 10 = 0

=> x(x - 5) + 2(x - 5) = 0

=> (x + 2) (x - 5) = 0

Now, Set each factor to zero:

x - 5 = 0, x + 2 = 0

=> x = 5 or x = − 2

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Solve the equation: x2 − 3x − 10 = 0