SOLVE QUADRATIC EQUATIONS?
1. x(x-6) = 5x-24
2. (x+2)(x-2)= -x^2 -9x -8
1. x(x-6) = 5x-24
2. (x+2)(x-2)= -x^2 -9x -8
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1. x(x-6) = 5x-24
x^2-6x = 5x-24
x^2-6x-5x+24 = 0
x^2-11x+24 = 0
x^2-8x-3x+24 = 0
(x-8) (x-3) = 0
x=8 or x=3
2. (x+2) (x-2) = -x^2-9x-8
- [(x+2) (x-2)] = x^2+9x+8
- [(x+2) (x-2)] = x^2+8x+x+8
- [(x+2) (x-2)] = (x+8) (x+1)
x+8 = -(x+2) or x+1= -(x-2)
x+8=-x-2 x+1 = -x+2
2x =-2-8 2x = 2-1
2x=-10 2x = 1
x = -5 x =1/2
x^2-6x = 5x-24
x^2-6x-5x+24 = 0
x^2-11x+24 = 0
x^2-8x-3x+24 = 0
(x-8) (x-3) = 0
x=8 or x=3
2. (x+2) (x-2) = -x^2-9x-8
- [(x+2) (x-2)] = x^2+9x+8
- [(x+2) (x-2)] = x^2+8x+x+8
- [(x+2) (x-2)] = (x+8) (x+1)
x+8 = -(x+2) or x+1= -(x-2)
x+8=-x-2 x+1 = -x+2
2x =-2-8 2x = 2-1
2x=-10 2x = 1
x = -5 x =1/2
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1.
x(x - 6) = 5x - 24
x^2 - 10x + 24 = 0
(x - 4)(x - 6) = 0
Solutions:
x = 4
x = 6
2.
(x + 2)(x - 2) = -x^2 - 9x - 8
2x^2 + 9x + 4 = 0
(x + 4)(2x + 1) = 0
Solutions:
x = -4
x = -1/2
x(x - 6) = 5x - 24
x^2 - 10x + 24 = 0
(x - 4)(x - 6) = 0
Solutions:
x = 4
x = 6
2.
(x + 2)(x - 2) = -x^2 - 9x - 8
2x^2 + 9x + 4 = 0
(x + 4)(2x + 1) = 0
Solutions:
x = -4
x = -1/2
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1) x = -3
x = -8
2) x = -4
x = -1/2
x = -8
2) x = -4
x = -1/2
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1)
x(x-6)=5x-24
x^2-6x=5x-24
x^2-11x+24=0
(x-8)(x-3)=0
x=8 or x=3
2)
(x+2)(x-2)=-x^2-9x-8
x^2-4 = -x^2-9x-8
2x^2+9x+4=0
(2x+1)(x+4)=0
x=-1/2 or x=-4
x(x-6)=5x-24
x^2-6x=5x-24
x^2-11x+24=0
(x-8)(x-3)=0
x=8 or x=3
2)
(x+2)(x-2)=-x^2-9x-8
x^2-4 = -x^2-9x-8
2x^2+9x+4=0
(2x+1)(x+4)=0
x=-1/2 or x=-4