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Maths-

General

Easy

Question

Solve the radical equation $square root of 6 minus x end root equals x$

hint Hint:

Rearrange the equation and then solve for x.

The correct answer is: x = 2, - 3

Complete step by step solution:
Here we have the equation $square root of 6 minus x end root equals x$
On squaring, we have $6 minus x equals x squared$
$not stretchy rightwards double arrow x squared equals 6 minus x$
$not stretchy rightwards double arrow x squared plus x minus 6 equals 0$
Now, this is a quadratic equation with a = 1, b = 1, c = -6
Roots can be found with, $x equals fraction numerator negative b plus-or-minus square root of b squared minus 4 a c end root over denominator 2 a end fraction$
$x equals fraction numerator negative 1 plus-or-minus square root of 1 minus 4 cross times 1 cross times negative 6 end root over denominator 2 cross times 1 end fraction$
On solving, we get x = 2, - 3

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