How do you factor and solve 2x^{2}-3=125?

Ella Bradshaw 2022-01-23 Answered
How do you factor and solve
2x23=125?
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

Amina Hall
Answered 2022-01-24 Author has 11 answers
Step 1
2x23=125
Subtract 125 on both sides
2x2128=0
Divide both sides by 2
x264=0
Using
a2b2=(a+b)(ab)
x264=(x+8)(x8)
So
(x+8)(x8)=0
x=±8
Not exactly what you’re looking for?
Ask My Question
hmotans
Answered 2022-01-25 Author has 8 answers
Step 1 Move all the terms to one side of the equation 2x23=125 2x23125=125125 2x2128=0 Now take out a factor of 2 (2×x2)(2×64)=0 2(x264)=0 We now have a term in the parentheses that looks like (a2b2) This is called a difference of squares We can factor a difference of squares like this: (a2b2)=(ab)(a+b) Lets
Not exactly what you’re looking for?
Ask My Question

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more