1/x + 1/x+2 =11/60
What's the first step to find value of x?
Multiply both sides of the equation by
x(x+2)
You get:
x+2 + x = 11/60 x*(x+2) -->
11/60 x^2 + (11/30 - 2)x - 2 = 0
The first step to find the value of x in the equation (1/x) + (1/x+2) = 11/60 is to multiply both sides of the equation by the common denominator, which is x(x+2).
By doing this, you eliminate the fractions in the equation and simplify it into a quadratic equation. Multiplying both sides of the equation by x(x+2) gives us:
x(x+2) * (1/x) + x(x+2) * (1/x+2) = 11/60 * x(x+2)
Simplifying this further, we get:
(x+2) + x = (11/60) * x(x+2)
Combining like terms, we have:
2x + 2 = (11/60) * x(x+2)
Now, to continue solving for x, you can rearrange this equation to the standard form of a quadratic equation:
(11/60) * x^2 + [(11/60)*(2) - 2]x - 2 = 0
Now that we have the equation in the form ax^2 + bx + c = 0, you can proceed to solve for x using various methods, such as factoring, completing the square, or using the quadratic formula.