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Hey mateHere is a question for the toppers no spam don't attempt if not sure(x+1) (2×+8)=(×+7)(×+3)Ch quadratic equation solve fast I will mark you brainliest |
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Answer» Step-by-step explanation: (x+1)(2x+8)=(x+7)(x+3) Simplifying (x + 1)(2x + 8) = (x + 7)(x + 3) Reorder the terms: (1 + x)(2x + 8) = (x + 7)(x + 3) Reorder the terms: (1 + x)(8 + 2x) = (x + 7)(x + 3) Multiply (1 + x) * (8 + 2x) (1(8 + 2x) + x(8 + 2x)) = (x + 7)(x + 3) ((8 * 1 + 2x * 1) + x(8 + 2x)) = (x + 7)(x + 3) ((8 + 2x) + x(8 + 2x)) = (x + 7)(x + 3) (8 + 2x + (8 * x + 2x * x)) = (x + 7)(x + 3) (8 + 2x + (8x + 2x2)) = (x + 7)(x + 3) Combine like terms: 2x + 8x = 10x (8 + 10x + 2x2) = (x + 7)(x + 3) Reorder the terms: 8 + 10x + 2x2 = (7 + x)(x + 3) Reorder the terms: 8 + 10x + 2x2 = (7 + x)(3 + x) Multiply (7 + x) * (3 + x) 8 + 10x + 2x2 = (7(3 + x) + x(3 + x)) 8 + 10x + 2x2 = ((3 * 7 + x * 7) + x(3 + x)) 8 + 10x + 2x2 = ((21 + 7x) + x(3 + x)) 8 + 10x + 2x2 = (21 + 7x + (3 * x + x * x)) 8 + 10x + 2x2 = (21 + 7x + (3x + x2)) Combine like terms: 7x + 3x = 10x 8 + 10x + 2x2 = (21 + 10x + x2) ADD '-10x' to each SIDE of the equation. 8 + 10x + -10x + 2x2 = 21 + 10x + -10x + x2 Combine like terms: 10x + -10x = 0 8 + 0 + 2x2 = 21 + 10x + -10x + x2 8 + 2x2 = 21 + 10x + -10x + x2 Combine like terms: 10x + -10x = 0 8 + 2x2 = 21 + 0 + x2 8 + 2x2 = 21 + x2 Solving 8 + 2x2 = 21 + x2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x2' to each side of the equation. 8 + 2x2 + -1x2 = 21 + x2 + -1x2 Combine like terms: 2x2 + -1x2 = 1x2 8 + 1x2 = 21 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 8 + 1x2 = 21 + 0 8 + 1x2 = 21 Add '-8' to each side of the equation. 8 + -8 + 1x2 = 21 + -8 Combine like terms: 8 + -8 = 0 0 + 1x2 = 21 + -8 1x2 = 21 + -8 Combine like terms: 21 + -8 = 13 1x2 = 13 Divide each side by '1'. x2 = 13 Simplifying x2 = 13 Take the SQUARE root of each side: x = {-3.605551275, 3.605551275} |
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