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Rihanna Cochran
24 June, 01:22
How to solve (4x-7) ^2=44
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Jaylynn Frank
24 June, 04:28
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Well, First I would write it in the expanded form which is 16x^2-56x+49=44 then i would reorder my terms to 49+-56x+16^2=4 then solve for x so it would be 49 + - 44 + - 56 + 16^2=44 + - 44 then combine the like terms 49 + - 44=5
5+-56x+16x^2 = 44+-44 would turn into
44 + - 44 = 0
5 + - 56+16^2=0
i would do the squaring and divide all the terms by 16 the coefficient of the squared term:
divide each side by 16 so
0.3125 + - 3.5x + x^2=0
move the constant to the right
add - 0.3125 to each side 0.3125 + - 3.5x + - 0.3125 + x2 = 0 + - 0.3125 then reorder
0.3125 + - 0.3125 + - 3.5x + x2 = 0 + - 0.3125
0.3125 + - 0.3125 + - 3.5x + x2 = 0 + - 0.3125
then
x + - 1.75 = 1.658312395 Simplifying x + - 1.75 = 1.658312395 Reorder the terms: - 1.75 + x = 1.658312395 Solving - 1.75 + x = 1.658312395 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.75' to each side of the equation. - 1.75 + 1.75 + x = 1.658312395 + 1.75 Combine like terms: - 1.75 + 1.75 = 0.00 0.00 + x = 1.658312395 + 1.75 x = 1.658312395 + 1.75 Combine like terms: 1.658312395 + 1.75 = 3.408312395 x = 3.408312395 Simplifying x = 3.408312395
then
x + - 1.75 = - 1.658312395 Simplifying x + - 1.75 = - 1.658312395 Reorder the terms: - 1.75 + x = - 1.658312395 Solving - 1.75 + x = - 1.658312395 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.75' to each side of the equation. - 1.75 + 1.75 + x = - 1.658312395 + 1.75 Combine like terms: - 1.75 + 1.75 = 0.00 0.00 + x = - 1.658312395 + 1.75 x = - 1.658312395 + 1.75 Combine like terms: - 1.658312395 + 1.75 = 0.091687605 x = 0.091687605 Simplifying x = 0.091687605
and finally your solution is x=3.408312395 and x=0.091687605
or another way to write it is
x=/frac{1}{4} (7-2 / sqrt{11}) [/tex]
x=/frac{1}{4} (7+2 / sqrt{11}) [/tex]
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