Question

How do you solve `\frac { 350} { 100} \times \frac { 7} { 2} \times x ^ { 2} = 1225`?

Answer 1

See a solution process below:

Explanation:

First, multiply the two fractions on the left side of the equation:

`(350 xx 7)/(100 xx 2) xx x^2 = 1225`

`2450/200 xx x^2 = 1225`

`12.25 xx x^2 = 1225`

Next, divide each side of the equation by `color(red)(12.25)` to isolate the `x^2` while keeping the equation balanced:

`(12.25 xx x^2)/color(red)(12.25) = 1225/color(red)(12.25)`

`(color(red)(cancel(color(black)(12.25))) xx x^2)/cancel(color(red)(12.25)) = 100`

`x^2 = 100`

Now, take the square root of each side of the equation to solve for `x` while keeping the equation balanced. Remember, the square root of a number produces a positive and negative result:

`sqrt(x^2) = +-sqrt(100)`

`x = +-10`