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.”(1 point)
Responses
There are no real solutions.
There are no real solutions.
{−6/13,6/13}
left brace negative Start Fraction 6 over 13 End Fraction comma Start Fraction 6 over 13 End Fraction right brace
{6/13}
left brace Start Fraction 6 over 13 End Fraction right brace
{−6/13}
{−6/13,6/13}
can you explain farther
To solve the equation x^2 = 36/169 using inspection, we need to find the values of x that satisfy this equation.
First, we can notice that the right side of the equation, 36/169, can be simplified. The square root of 36 is 6, and the square root of 169 is 13. So, we can rewrite the equation as:
x^2 = (6/13)^2
Now, if the square of a number is equal to the square of another number, it means that the two numbers are equal. So, we can conclude that x is equal to 6/13 or -6/13.
Therefore, the correct solution set for the equation x^2 = 36/169 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, we can take the square root of both sides of the equation to eliminate the exponent of 2: √(x^2) = √(36/169).
This simplifies to x = ±(6/13), where the ± symbol indicates both the positive and negative solutions.
Therefore, the correct solution set is {−6/13, 6/13}.