Solve the following quadratic equations by Completing the square
1. m² - 12m = - 32
2. x² + 10 X-4 = 0
1. m² - 12m = - 32
2. x² + 10 X-4 = 0
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Answer:
Step-by-step explanation:
m² - 12m = - 32
m²-12m+32=0
m²-8m-4m+32=0
m(m-8)-4(m-8)=0
(m-4)(m-8)=0
m-4=0
m=4
m-8=0
m=8
m=4,8
Completing the square
m² - 12m = - 32
m²-12m+36=-32+36
m²-12m+36=4
(m-6)²=4
√(m-6)²=+-√4
m-6=+-2
m=+-2+6
m1=2+6=8
m2=-2+6=4