Solve the following quadratic equation by factorization method : x^{2}+3x-(a^{2}+a-2)=0

agreseza 2021-12-14 Answered
Solve the following quadratic equation by factorization method :
x2+3x(a2+a2)=0
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Expert Answer

sukljama2
Answered 2021-12-15 Author has 33 answers
Step 1
To solve the quadratic equation using factorization method.
Step 2
x2+3x(a2+a2)=0
x2+3x(a2+2aa2)=0
x2+3x(a(a+2)1(a+2))=0
x2+3x((a+2)(a1))=0
x2+((a+2)(a1))x((a+2)(a1))=0
x2+(a+2)x(a1)x(a+2)(a1)=0
x(x+(a+2))-(a-1)(x+(a+2))=0
(x+(a+2))(x-(a-1))=0
x+(a+2)=0 or x-(a-1)=0
x=-a-2, x=a-1

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John Koga
Answered 2021-12-16 Author has 33 answers
Step 1 Given
a2b2x2+b2xa2x1=0
Step 2 solving
(a2b2x2+b2x)(a2x+1)=0
(a2x+1)b2x(a2x+1)=0
(a2x+1)(b2x1)=0
a2x+1=0,b2x1=0
a2x=1,b2x=1
x=1a2,x=1b2

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