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Earn +20 ptsQ: 4x2 - 12x plus 9 equals 5?
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Y equals -x plus 12x-y equals 5 solve by substitution?
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What is the distance between the intersections of the parabolas of y equals 4x squared -12x -3 and y equals x squared plus 11x plus 5 showing key stages of work rounded off to 3 decimal places?
1 If: y = 4x2-12x-3 and y = x2+11x+5 2 Then: 4x2-12x-3 = x2+11x+5 3 And so: 3x2-23x-8 = 0 4 Using the quadratic equation formula: x = -1/3 or x = 8 5 By substitution they intersect at: (-1/3, 13/9) and (8, 157) 6 Length: square root of (-1/3-8)2+(13/9-157)2 = 155.7786099 7 Distance between intersections: 155.779 rounded to 3 decimal places
What is 12x3 plus 17x2 plus 5x?
12x^3+17x^2+5x=0x(12x^2+17x+5)=0x(x+1)(12x+5)=0x=0x=-1x=-5/12
3x-8 plus 5x plus 39 plus 4 x plus 51 equals?
3x-8+5x+39+4x+51 = x(3+5+4) + -8 + 39 + 51 = 12x +82
Factor 4x2-20x plus 25?
(2x - 5)(2x - 5) or (2x - 5) squared
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