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Math

Solve (x-1)^2-2(x-1)-3=0

Solve (x-1)^2-2(x-1)-3=0Using (a+b)^2 = a^2 + b^2 + 2aba= x, b= -1(x)^2+(-1)^2+2(x)(-1) = x^2 + 1 - 2xExpand -2(x-1) -2*x -2*-1= -2x+2x^2 + 1 - 2x - 2x + 2...

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How do I use Pythagoras' Theorem to calculate the hypotenuse of a triangle?

Adjacent^2 +Perpendicular^2 = Hypotenuse ^2Example:Adjacent = 4cmPerpendicular = 6cmAdjacent^2 = (4)^2 = 16cmPerpendicular^2 = (6)^2 = 36cmHypotenuse^2 = 16 + 3...

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By completing the square, find the solutions of x which satisfy the equation x^2+14x-1=0

METHOD 1:When applying completing the square method, the main goal is to change the format of the equation from:ax²+bx+c = 0 ⇒ a(x+d)² + e= 0If we compare both...

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integrate (2x^4 - 4/sqrt(x) + 3)dx

⌠ydx= ⌠(2x⁴-4/√x +3)dxIn integration, we basically add 1 to each power of the given variable and then divide the term by the new power.Hence 2x⁴ will become 2x⁵...

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