Use inspection to solve the equation x^2=36/169 , then select the correct solution set below. If there are no real solutions, select “There are no real solutions.”
{−613} left brace negative Start Fraction 6 over 13 End Fraction right brace There are no real solutions. There are no real solutions. {613} left brace Start Fraction 6 over 13 End Fraction right brace {−613,613}
To solve the equation x^2 = 36/169, we can take the square root of both sides:
x = ±√(36/169)
Simplifying the square root gives:
x = ±(6/13)
So the solution set is {6/13, -6/13}.
To solve the equation x^2 = 36/169 using inspection, we need to find the values of x that satisfy the equation.
First, take the square root of both sides of the equation:
√(x^2) = √(36/169)
This simplifies to:
x = ±(√36/√169)
x = ±(6/13)
Therefore, the correct solution set for the equation x^2 = 36/169 is:
{6/13, -6/13}
So, the correct option from the given choices is:
{6/13, -6/13}
To solve the equation x^2 = 36/169, we can use the method of inspection.
First, let's simplify the right side of the equation by taking the square root of both sides:
x = ± √(36/169)
To calculate the square root of 36/169, we can break it down into the square root of the numerator (36) divided by the square root of the denominator (169):
x = ± (√36) / (√169)
The square root of 36 is 6, and the square root of 169 is 13:
x = ± 6/13
So, the solutions to the equation x^2 = 36/169 are x = 6/13 and x = -6/13.
Therefore, the correct solution set is {6/13, -6/13}.