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Mathematics
26 August, 00:18
Complete the square to solve 4x^2 + 24x = 4
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Precious Moses
26 August, 00:41
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4x^2+24x=4
Step 1:
make the coefficient of x² as 1, divide both sides by 4
x² + 6x = 1
Step 2:
take half of coefficient of x, square it and add it to both sides
half of 6 is 3 and 3²=9, so add 9 to both sides
x² + 6x+9=1+9
x²+6x+3²=10
(x+3) ²=10
now when we take square root we will get both + and - √10 on right side
x+3 = + √10
x+3=-√10
solving for x
x=+√10-3
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