Solve the following quadratic expressions by factoring. First write the expressions in completely factored form. Then write the real numer solutions. [Hint: Remember to use proper notation when writing the real number solutions.For example: if the solutions are x=1 and x=4, write x=1,4. 1) x2+9x+20=0 Factored form - ? Real number solutions - ? 2) x2−x−72=0 Factored form - ? Real number solutions - ? 3) x2−36=0 Factored form - ? Real number solutions - ? 4) x2−10x+25=0 Factored form - ? Real number solutions - ?

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Solve the following quadratic expressions by factoring. First write the expressions in completely factored form. Then write the real numer solutions.  [Hint: Remember to use proper notation when writing the real number solutions.For example: if the solutions are x=1 and x=4, write x=1,4.  1) x2+9x+20=0  Factored form - ?  Real number solutions - ?  2) x2−x−72=0  Factored form - ?  Real number solutions - ?  3) x2−36=0  Factored form - ?  Real number solutions - ?  4) x2−10x+25=0  Factored form - ?  Real number solutions - ?

Yusuf Keller · Accepted Answer

1) Given: x2+9x+20=0 ⇒x2+4x+5x+20=0 ⇒x(x+4)+5(x+4)=0 ⇒(x+4)(x+5)=0 Factored form (x+4)(x+5)Real number solution ⇒(x+4)(x+5)=0 ⇒x=−4,x=−5 x=−4,−5 2) ⇒x2−x−72=0 ⇒x2−9x+8x−72=0 ⇒x(x−9)+8(x−9)=0 ⇒(x−9)(x+8) Factored form (x−9)(x+8) Real number solution ⇒(x−9)(x+8)=0 ⇒x=9,x=−8 x=9,−8 3) x2−36=0 ⇒x2=36 ⇒x=36 ⇒x=6 Factored form. x=6 Real number solution. x=0.6 4) x2−10x+25=0 ⇒x2−5x−5x+25=0 ⇒x2−5x−5x+25=0 ⇒x(x−5)−5(x−5)=0 ⇒(x−5)(x−5)=0 Factored form (x−5)(x−5) Real number solution (x−5)(x−5)=0 x=5,5

Solve the following quadratic expressions by factoring. First write the expressi

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