All the real solutions of the given equation are; x = - 5.61 and x = 1.61
How to find the solutions to an equation?
We are given the equation;
x - √(9 - 4x) = 0
Add √(9 - 4x) to get;
x - √(9 - 4x) + √(9 - 4x) = √(9 - 4x)
x = √(9 - 4x)
Square both sides to get;
x² = 9 - 4x
Add 4x to both sides to get;
x² + 4x = 9 - 4x + 4x
x² + 4x - 9 = 0
Using online quadratic equation calculator, we have;
x = - 5.61 and x = 1.61
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