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

Question

asked Nov 20, 2019 102k views

1 Answer

Jethar · Answer 1 · 2019-11-26T20:14:23+0000

Answer:

1. 2+sqrt(102)

2. 5+sqrt(5)

3. No Solution

4. No Solution

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