Equation solving

Solve the equation:

5 / (x-4) - 2 / (4x-16) = - 7

Final Answer:

x1 =  4
x2 =  3.3571

Step-by-step explanation:

5/(x−4) − 2/(4x−16)=−7  5⋅ (4x−16)−2⋅ (x−4)=−7⋅ (4x−16)⋅ (x−4)  5⋅ (4x−16)−2⋅ (x−4)=−7⋅ (4x−16)⋅ (x−4) 28x2−206x+376=0 28=22⋅7 206=2⋅103 376=23⋅47 GCD(28,206,376)=2  14x2−103x+188=0  a=14;b=−103;c=188 D=b2−4ac=1032−4⋅14⋅188=81 D>0  x1,2​=2a−b±D​​=28103±81​​ x1,2​=28103±9​ x1,2​=3.678571±0.321429 x1​=4 x2​=3.357142857  x1​=4

Our quadratic equation calculator calculates it.

x2​=3.3571=1447​=3145​

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