solve by completing the square method x²-14x-51=0 please answer me step by step with full explanation and plss answer me fast.
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Add 51 to both sides of the equation. To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of b . Add the term to each side of the equation. Simplify the equation.
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Solve by Completing the Square x^2+14x-51=0
x2+14x−51=0x2+14x-51=0
Add 5151 to both sides of the equation.
x2+14x=51x2+14x=51
To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of bb.
(b2)2=(7)2(b2)2=(7)2
Add the term to each side of the equation.
x2+14x+(7)2=51+(7)2x2+14x+(7)2=51+(7)2
Simplify the equation.
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x2+14x+49=100x2+14x+49=100
Factor the perfect trinomial square into (x+7)2(x+7)2.
x=3,-17
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