# SOLUTION: Can you help with this problem? It's a take home exercise that has me stumped: Solve: 2x2 (2x squared) = 7x + 11 I incorrectly listed this under "Word Problems." Thank you.

Algebra ->  -> SOLUTION: Can you help with this problem? It's a take home exercise that has me stumped: Solve: 2x2 (2x squared) = 7x + 11 I incorrectly listed this under "Word Problems." Thank you.       Log On

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 Question 110771: Can you help with this problem? It's a take home exercise that has me stumped: Solve: 2x2 (2x squared) = 7x + 11 I incorrectly listed this under "Word Problems." Thank you. Answer by jim_thompson5910(29613)   (Show Source): You can put this solution on YOUR website! Start with the given equation Subtract from both sides Let's use the quadratic formula to solve for x: Starting with the general quadratic the general solution using the quadratic equation is: So lets solve ( notice , , and ) Plug in a=-2, b=7, and c=11 Square 7 to get 49 Multiply to get Combine like terms in the radicand (everything under the square root) Multiply 2 and -2 to get -4 So now the expression breaks down into two parts or Now break up the fraction or Simplify or So these expressions approximate to or So our solutions are: or Notice when we graph , we get: when we use the root finder feature on a calculator, we find that and .So this verifies our answer