Find the sum of the solutions of the equation (3x - 8/x)^2 - 7(3x - 8/x)^2 +10 = 0
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Hi there sri340
Notice there are some like terms here
Now expand the brackets and apply the quadratic fomula to solve for
I suspect there is a typo . . . Find the sum of the solutions of the equation: .
Divide by 9: .
The sum of the roots is the negative of the coefficient: .
Allow your equation to read a^2-7a+10=0.
a=5 or 2.
"a" = 3x-8/x, so 5x=3x^2-8 and 2x=3x^2-8.
Hence, 3x^2-5x-8=0 and 3x^2-2x-8=0
have solutions (3x-8)(x+1)=0 and (3x+4)(x-2)=0.
x= 8/3, -1, -4/3 and 2.
These sum to 7/3.
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