Please check-
sqrt of 2x + 15 = x
Answers:
-5.3
-3.5
-3
5
I think according to my calculations it would be 5, correct?
sqrt root of 7-x = 3-solve for x
Answers:
-2
2
4
-4
My choice would be 2
Is that correct-
I squared both sides and came out with 7-x = 9
and then x = 2
Thank you for taking the time to check this
5 is correct for
sqrt(2x + 15) = x
Notice that parentheses are required to show an expression correctly.
For the second one, would you like to double check:
7-x = 9,
x=?
or
does
7 - 2 = 9?
Should it be (-2) instead of positive 2
3(x-2) 3x-6
To solve the equation sqrt(2x + 15) = x, we need to isolate the square root term and get x by itself.
1. Start by squaring both sides of the equation to eliminate the square root: (sqrt(2x + 15))^2 = x^2.
This simplifies to 2x + 15 = x^2.
2. Rearrange the equation to the standard quadratic form: x^2 - 2x - 15 = 0.
3. Solve the quadratic equation either by factoring, completing the square, or using the quadratic formula.
Factoring: (x - 5)(x + 3) = 0.
Setting each factor equal to zero gives x - 5 = 0 or x + 3 = 0.
Therefore, the possible solutions are x = 5 or x = -3.
So the correct solutions are x = 5 and x = -3. Therefore, your answer of 5 is correct.
Now let's solve the equation sqrt(7 - x) = 3 for x.
1. Square both sides of the equation: (sqrt(7 - x))^2 = 3^2.
This simplifies to 7 - x = 9.
2. Solve for x by isolating it on one side of the equation.
Subtract 7 from both sides: -x = 9 - 7.
Combine like terms: -x = 2.
Multiply both sides by -1 to isolate x: x = -2.
So the correct solution to the equation sqrt(7 - x) = 3 is x = -2. Therefore, your choice of 2 is incorrect.
I hope this explanation helps you understand how to solve these equations. If you have any further questions, feel free to ask!