Q.5 The polynomial equation x (x+1) +8 = (x + 2) (x - 2) is
Question
Q.5 The polynomial equation x (x+1) +8 = (x + 2) (x - 2) is
Solution
Sure, let's solve the equation step by step.
Step 1: Expand both sides of the equation On the left side, x(x+1) + 8 becomes x^2 + x + 8. On the right side, (x + 2)(x - 2) becomes x^2 - 4.
Step 2: Set the equation So, the equation becomes x^2 + x + 8 = x^2 - 4.
Step 3: Simplify the equation Subtract x^2 from both sides to get x + 8 = -4.
Step 4: Solve for x Subtract 8 from both sides to get x = -4 - 8 = -12.
So, the solution to the polynomial equation x(x+1) +8 = (x + 2)(x - 2) is x = -12.
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