The solution to the given system of equation is ±√13
Solving rational expression
Rational equations are equation that are written inside square root. For instance y = √x is a rational expression.
Given the following expression shown;
5-√(x²-9) = 7
We are to determine the solutions of the equation
Subtract 5 from both sides
5-√(x²-9) - 5= 7 - 5
-√(x²-9) = 2
Multiply both sides by a negative sign.
√(x²-9) = -2
Square both sides
(x²-9) = 2^2
(x²-9) = 4
x² = 4 + 9
x = ±√13
Hence the solution to the given system of equation is ±√13
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