SOLUTION: Can you help me with this problem? 2(a-6)^2-45=53

Question 408793: Can you help me with this problem? 2(a-6)^2-45=53
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation.

FOIL

Distribute.

Subtract 53 from both sides.

Combine like terms.

Notice we have a quadratic equation in the form of where , , and

Let's use the quadratic formula to solve for a

Start with the quadratic formula

Plug in , , and

Negate to get .

Square to get .

Multiply to get

Rewrite as

Add to to get

Multiply and to get .

Take the square root of to get .

or Break up the expression.

or Combine like terms.

or Simplify.

So the answers are or

If you need more help, email me at jim_thompson5910@hotmail.com

Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you

Jim
RELATED QUESTIONS
Can you please help me with this problem: 6r^2 + 13r +... (answered by jim_thompson5910)

Can you help me with this problem step by step please... (answered by ankor@dixie-net.com)

Can you help me with this problem... (answered by harpazo,Alan3354)

Can you help me with this problem and help me sketch a graph y = x^2 + 2x -24 Thanks, (answered by philberg99)

can you help me with this equation 2(a-3)=3(-2a+6) (answered by LarissaRichardson)

Can you please help me with this math problem? 2.)Solve the system by substition.... (answered by Fombitz)

Can someone help me with this problem? I need to divide: m^8n^6/m^4n^2... (answered by funmath)

solve x+2/x-6 less than or equal to 4 Tutors can you help me with this... (answered by edjones)

Can you please help me with this problem?... (answered by mananth)