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x – 2 = ±1x = 3 , 1y – 6 = ±10y = 16 , -4(x-1)^2 = 10 + 1x – 1 = ±sqrt(11)x = 1 + sqrt(11) , 1 – sqrt(11)(x+1)^2 = 9x + 1 = ±3x = 2 , -4(a) x = (-7 ± sqrt(49 +12))/2 = (-7 + sqrt(61))/2 , (-7 – sqrt(61))/2(b) ((-7 + sqrt(61))/2 , 0) , ((-7 - sqrt(61))/2 , 0)T = sqrt(V/48) = sqrt(35/48) = 0.9 x = (-12 ± sqrt(144 – 16))/2 = (-12 ± sqrt(128))/2 = -6 ± 4sqrt(2) = -6 + 4sqrt(2) , -6 – 4sqrt(2)r = (-3 ± sqrt(9+12))/2 = (-3 + sqrt(21))/2 , (-3 – sqrt(21))/2(a) x = (7 ± sqrt(49+132))/6 = (7 + sqrt(181))/6 , (7 - sqrt(181))/6(b) ((7 + sqrt(181))/6 , 0) , ((7 - sqrt(181))/6 , 0) 2x – 8 – x – 2 = x^2 – 2x – 8x – 10 = x^2 – 2x – 8x^2 – 3x + 2 = 0(x – 2)(x – 1) = 0x = 2 , 115(x+16) + 15x = x^2 + 16x30x + 240 = x^2 + 16xx^2 – 14x – 240 = 0(x – 24)(x + 10) = 0x = 24 , -10x = (-5 ± sqrt(25+28))/2 = (-5 + sqrt(53))/2 , (-5 – sqrt(53))/25x + 21 = x^2 + 6x + 9x^2 + x – 12 = 0(x+4)(x-3) = 0x = 3 (-4 is extraneous)No (real) solutionx^2 + (x+28)^2 = 68^2x^2 + x^2 + 56x + 784 = 46242x^2 + 56x = 3840x^2 + 28x – 1920 = 0(x+60)(x-32) = 0x = 32 (-60 is extraneous)Leg lengths: 32 , 6031/x + 10/(x-5) = 431(x-5) + 10x = 4x(x-5)31x – 155 + 10x = 4x^2 – 20x4x^2 – 61x + 155 = 0x = (61 ± sqrt(61^2 – 4(4)(155)))/8 = 12.031st part speed = 12.03 mph2nd part speed = 7.03 mphBA (assuming all variables are positive)(x-3)^2 = 0Answer C4(x^2 – 4x + 4) = 0 = 4(x-2)^2Answer A(x+10)(x+8) = x^2 + 18x + 80 = 0(x-4)^2 = x^2 – 8x + 16 = 0Identical to question 23(x+sqrt(10))(x-6sqrt(10)) = x^2 – 5xsqrt(10) – 60 = 0w^2 = (6 ± sqrt(36+8))/2 = 3 ± sqrt(11)w = sqrt(3 + sqrt(11)) , -sqrt(3 + sqrt(11)) , isqrt(sqrt(11) – 3) , -isqrt(sqrt(11) – 3)(a) sqrt(2) , -sqrt(2)(b) (sqrt(2) , 0) , (-sqrt(2) , 0) ................
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