Lee Riley
05/06/2024 · Middle School
Solve the equation by factoring. \[ b^{2}-20 b+100=0 \] \( b=\square \)
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Step-by-step Solution
Solve the equation \( b^{2}-20b+100=0 \).
Solve the quadratic equation by following steps:
- step0: Solve by factoring:
\(b^{2}-20b+100=0\)
- step1: Factor the expression:
\(\left(b-10\right)^{2}=0\)
- step2: Simplify the expression:
\(b-10=0\)
- step3: Move the constant to the right side:
\(b=0+10\)
- step4: Remove 0:
\(b=10\)
The solution to the equation \(b^{2}-20b+100=0\) by factoring is \(b=10\).
Quick Answer
\( b=10 \).
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