Question
Solve each equation, and check the solutions.$$x^{2}-20 x+100=0$$
Step 1
We are looking for two numbers that multiply to 100 and add to -20. The numbers that satisfy this condition are -10 and -10. So, we can write the equation as: $$ x^{2}-20x+100=(x-10)(x-10)=0 $$ Show more…
Show all steps
Your feedback will help us improve your experience
James Kiss and 74 other Algebra educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Solve each equation by factoring. $$x^{2}-x-20=0$$
Equations, Inequalities, and Modeling
Quadratic Equations
Solve each equation, and check the solutions. $$ x^{3}+x^{2}-20 x=0 $$
Factoring and Applications
Solving Quadratic Equations Using the Zero-Factor Property
Find all real solutions to each equation. $$x^{2}-20=0$$
Radicals and Rational Exponents
Solving Equations with Radicals and Exponents
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD