Solve The Following Quadratic Equation By Factoring., 1.B\Xb2+B=2, 2.D(D-3)=4, 3.20m-16=4m\Xb2, 4.(X-1)\Xb2=-2(X-5)

Solve the following quadratic equation by factoring.

1.b²+b=2
2.d(d-3)=4
3.20m-16=4m²
4.(x-1)²=-2(x-5)

Answer:

1) (b+2) (b-1)

2) (d+1) (d-4)

3) (2m-8) (2m-2)

4) (x+3) (x-3)

Step-by-step explanation:

1) b²+b = 2

b² + b - 2 = 0

(b+2) (b-1) = b² + 2b - b - 2 = b² + b - 2

2) d(d-3) = 4

d² - 3d - 4 = 0

(d+1) (d-4) = d² + d - 4d - 4 = d² - 3d - 4

3) 20m - 16 = 4m²

4m² - 20m + 16 = 0

(2m-8) (2m-2) = 4m² - 16m - 4m + 16 = 4m² - 20m + 16

4) (x-1)² = -2(x-5)

x²-2x+1 = -2x+10

x² - 2x + 1 + 2x - 10 = 0

x² - 9 = (x+3) (x-3)

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