Solve the following equation.
4.7 = 1.13x^2
Do i square root the 1.13x^2 first? or divide both sides by 1.13?
Please excuse my dear aunt sally
Both will work, but it is customary to divide both sides by 1.13, which avoids an extra square-root:
4.7=1.13x²
x²=4.7/1.13
x=√(4.7/1.13)
or
√(4.7)=√(1.13)√(x²)
x=√(4.7)/√(1.13)
haha sorry. i didn't bother to read the entire thing. you must divide first in order to root both sides
To solve the equation 4.7 = 1.13x^2, you can start by dividing both sides of the equation by 1.13. This will isolate the x^2 term on the right side of the equation.
Dividing both sides by 1.13:
4.7/1.13 = (1.13x^2)/1.13
On the left side, 4.7/1.13 is approximately 4.1593. On the right side, the 1.13 terms cancel out, leaving you with:
4.1593 = x^2
After dividing both sides by 1.13, the equation becomes 4.1593 = x^2. Now, to get rid of the square on x, you can take the square root of both sides of the equation.
√(4.1593) = √(x^2)
On the left side, the square root of 4.1593 is approximately 2.0395. On the right side, the square root of x^2 is simply x, because the square root undoes the squaring operation:
2.0395 = x
Therefore, the solution to the equation 4.7 = 1.13x^2 is x ≈ 2.0395.