Math  /  Algebra

Question6. Solve for X 1) x+12=3x\frac{x+1}{2}=\frac{3}{x} 2) x37=1x+3\frac{x-3}{7}=\frac{1}{x+3}

Studdy Solution
Factor the quadratic equation:
(x4)(x+4)=0 (x - 4)(x + 4) = 0
Set each factor equal to zero and solve for x x :
x4=0orx+4=0 x - 4 = 0 \quad \text{or} \quad x + 4 = 0 x=4orx=4 x = 4 \quad \text{or} \quad x = -4
The solutions for x x are: 1) x=3 x = -3 or x=2 x = 2 for the first equation. 2) x=4 x = 4 or x=4 x = -4 for the second equation.

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