Solve for x: (x2 + 2x + 1) = 25

Assessment: WAEC SSCE - General Mathematics - 1989 (Objective) Subject: General Mathematics

Question 1 Report

Solve for x: (x2 + 2x + 1) = 25
Answer Details
We are given the equation: x2 + 2x + 1 = 25 To solve for x, we first simplify the left-hand side of the equation by subtracting 24 from both sides: x2 + 2x - 24 = 0 We can then factor this quadratic equation as follows: (x + 6)(x - 4) = 0 Using the zero product property, we know that this equation is true if either (x + 6) = 0 or (x - 4) = 0. Solving for x in each case, we get: x + 6 = 0 or x - 4 = 0 x = -6 or x = 4 Therefore, the solutions to the original equation are x = -6 and x = 4. So the answer is: -6, 4
Read lesson note on Algebraic Expressions (WAEC)
Read lesson note on Quadratic Equations (WAEC)
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