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Solving Quadratic Equations By Completing the Square

PLEASE EXPLAIN!

1) r^2 - 4r - 91 = 7

2) x^2 - 10x + 26 = 8

3) k^2 - 4k + 1 = -5

4) b^2 + 2b = -20

Respuesta :

Answer:

1. 2+sqrt(102)

2. 5+sqrt(5)

3. No Solution

4. No Solution

Step-by-step explanation:

1. r^2-4r+4-91=7+4      r^2-2r-2r+4     (r-2)^2-91=11    (r-2)^2=102   r-2=+sqrt(102)

1. x^2-10x+25+26=8+25      x^2-5x-5x+25     (x-5)^2+26=33    (x-5)^2=5          x-5=+sqrt(5)

1. k^2-4k+4+1=-5+4     k^2-2k-2k+4     (k-2)^2+1=-1    (r-2)^2=-2   No Solution

1. b^2+2b+1=-20+1     b^2+b+b+1     (b+1)^2=-19   No Solution

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