Can someone walk me through completing the square with this equation: r^2 + 6r = 16?
1 answer:
Answer:
Roots: 2, -8
Step-by-step explanation:
- <em>Use of formula: a^2+2ab+b^2= (a+b)^2</em>
<u>Below steps show how to complete square and solve the equation:</u>
- r^2 + 6r = 16
- r^2 + 2*3*r = 16 <em>adding below missing part of equation, and completing square</em>
- r^2 + 2*3*r + 3^2= 16+ 3^2
- (r+3)^2= 25
- r+3= ± 5
- r= - 3 ± 5
- r= 2, r= - 8
<u>Roots are</u> 2 and - 8
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