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Science & Mathematics by Anonymous 2018-07-04 21:33:24
Social Science
Can you rewrite 4x^2−4x+1=0 into (x+_)^2=_?
7 answers
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Anonymous
4x^2 − 4x + 1 = 4(x^2 − x + 1/4) = (1 - 2x)^2 = (2x - 1)^2 4x^2 − 4x + 1 = 0 (2x − 1)^2 = 0
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Anonymous
4x² − 4x + 1 = 0 4(x² - x) + 1 = 0 4(x² - x + (-1/2)² - (-1/2)²) + 1 = 0 4(x - 1/2)² -4/4 + 1 = 0 4(x - 1/2)² = 0 (x - 1/2)² = 0
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Anonymous
4x^2−4x+1=0. Write it as 4x^2 +4x +1= 8x (2x+1)²= 8x (x+1/2)²= 2x. This is ghe answer
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Anonymous
4x^2−4x+1=0 (2x)² −2*2x*1+1²=0 i.e. (2x−1)²=0 or 2²{x+(−1/4)}²=0 or {x+(−1/4)}²=0
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Anonymous
4x² - 4x + 1 = 0 x² - x + (1/4) = 0 x² - x = - (1/4) x² - x + (1/2)² = - (1/4) + (1/2)² x² - x + (1/2)² = - (1/4) + (1/4) [x - (1/2)]² = 0 → to go further x - (1/2) = 0 x = 1/2
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Anonymous
4[x^2-x]=-1 4[x^2-x+1/4] = -1+1 4(x-1/2)^2 = 0 (x-1/2)^2 = 0
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Anonymous
4x^2 - 4x + 1 = 0 (2x - 1)^2 = 0 x = 1/2