3 answers
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M-3=±11
M₁₂=14
M₂ =-8
M₁₂=14
M₂ =-8
Step 1: Rewrite the equation in its quadratic form.
(M - 3)² = 121
Step 2: Take the square root of both sides of the equation.
√((M - 3)²) = √121
M - 3 = ±11
Step 3: Solve for M.
For M - 3 = 11:
Add 3 to both sides of the equation.
M - 3 + 3 = 11 + 3
M = 14
For M - 3 = -11:
Add 3 to both sides of the equation.
M - 3 + 3 = -11 + 3
M = -8
Therefore, the solutions for the equation (M-3)² = 121 are M = 14 and M = -8.