Maths-
General
Easy

Question

Solve the equation m2 = 14

Hint:

Solve the quadratic equation.

The correct answer is: ±√14.


    Complete step by step solution:
    We have m2 = 14
    Taking terms to left side, we have m2 - 14 =0
    The quadratic equation is m2 - 14 = 0
    We know that the Quadratic formula is fraction numerator negative b plus-or-minus square root of b squared minus 4 a c end root over denominator 2 a end fraction
    Here, b = 0, a = 1, c = -14
    By substituting these values in the Quadratic formula,
    We get m = fraction numerator negative left parenthesis negative 0 right parenthesis plus-or-minus square root of left parenthesis negative 0 right parenthesis squared minus left parenthesis 4 cross times 1 cross times negative 14 right parenthesis end root over denominator 2 cross times 1 end fraction equals fraction numerator plus-or-minus 2 square root of 14 over denominator 2 end fraction
    After simplification, we get m equals plus-or-minus square root of 14.

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