solve the following quadratic equation of x
9x²-9(a+b)x + (2a²+5ab+2b²)
pls. fast
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Answered by
5
Solution :
9x² - 9(a+b)x+(2a²+5ab+2b²)=0
=> 9x²-9(a+b)x+(a+2b)(2a+b)=0
=>9x²-3(a+2b)x-3(2a+b)x+(a+2b)(2a+b)=0
=>3x[3x-(a+2b)]-(2a+b)[3x-(a+2b)]=0
=> [3x-(a+2b)][3x-(2a+b)]=0
=> 3x - (a+2b)=0 or 3x - (2a+b) = 0
=> x = (a+2b)/3 or x = ( 2a+b )/3
•••••
9x² - 9(a+b)x+(2a²+5ab+2b²)=0
=> 9x²-9(a+b)x+(a+2b)(2a+b)=0
=>9x²-3(a+2b)x-3(2a+b)x+(a+2b)(2a+b)=0
=>3x[3x-(a+2b)]-(2a+b)[3x-(a+2b)]=0
=> [3x-(a+2b)][3x-(2a+b)]=0
=> 3x - (a+2b)=0 or 3x - (2a+b) = 0
=> x = (a+2b)/3 or x = ( 2a+b )/3
•••••
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6
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