# SOLUTION: I am stumped...I can not figure these two problems out for the life of me...can someone please assist me with these two problems? Find all real solutions to each equation. 64

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 Click here to see ALL problems on Quadratic Equations Question 211413This question is from textbook Elementary and Intermediate Algebra, 3e : I am stumped...I can not figure these two problems out for the life of me...can someone please assist me with these two problems? Find all real solutions to each equation. 64) Find all real and imaginary solutions to each equation. 70) This question is from textbook Elementary and Intermediate Algebra, 3e Answer by Edwin McCravy(8909)   (Show Source): You can put this solution on YOUR website! I am stumped...I can not figure these two problems out for the life of me...can someone please assist me with these two problems? Find all real solutions to each equation. ``` We group the first two terms as one term: Now there are three terms on the left. Notice that if we square the variable of the middle term , we get the variable of the first term . Therefore we substitute the letter "" for the variable of the middle term, that is Then squaring both sides we have So we substitute and becomes simply Which we factor and solve getting and Since and a square root can never be negative in real numbers, we can rule out . So Substituting back becomes We use the quadratic formula: -------------------------------- Find all real and imaginary solutions to each equation. 70) Notice that if we square the variable of the middle term , we get the variable of the first term . Therefore we substitute the letter "" for the variable of the middle term, that is and squaring both sides: So we substitute and becomes simply Which we factor and solve getting and Now since , we have and Taking square roots: and or =± and =± Edwin```