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To solve the equation you need to know at least a value for x or y. For example if x = 2 then the solution will show that y = 1.
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Replace y = x2, and use the quadratic formula to solve for y. This should give you two solutions for y. Then replace back, and solve each of the solutions for y, to get two solutions each for x.
Solve for y: f(-5)=13+2x
√144 = √122 = 12