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Maths-

General

Easy

Question

Solve the equation m² = 14

hint 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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