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Earn +20 ptsQ: What number must you add to complete the square of x2 12x -9?
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In solving the quadratic equation x2 plus 12x - 5 equals 0 what value would complete the square?
x2 + 12x - 5 = 0x2 + 12x - 5 + 5 = 0 + 5x2 + 12x = 5x2 + 12x + (12/2)2 = 5 + (12/2)2x2 + 12x + (6)2 = 5 + 36(x + 6)2 = 41 (square root of both sides)x + 6 = ± √41x + 6 - 6 = -6 ± √41x = -6 ± √41x ≈ -6 + 6.4 = -0.4x ≈ -6 - 6.4 = -12.4
What is the missing constant term in the perfect square that starts with x^2-12x?
14
What is the discriminant of the equation -3x square - 12x plus 7 equals 8?
The equation is equivalent to: -3x2 - 12x - 1 = 0 [you could change signs to get 3x2 + 12x + 1 = 0 but that is not required] The discriminant is (-12)2 - 4*(-3)(-1) = 144 - 12 = 132
What is the solution of 2x2-12x plus 16 equals 0?
2*2 - 12x +16 =0 4 - 12x +16 =0 -12x + 16 +4 =0 -12x + 20 =0 -12x = -20 x = 1.666666667
12x-4y plus 9z plus 2y?
12x-4y+9z+2y =12x-2y+9z
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