To find the value of x that makes the equation true, we can substitute each value of x into the equation and see which one results in the equation being true.
Substituting x = 20 into the equation:
20 − √20 + 2 = 7.
Simplifying the equation, we get:
20 − √20 + 2 = 22 − √20 ≠ 7.
Therefore, x = 20 does not make the equation true.
Substituting x = 25 into the equation:
25 − √25 + 2 = 7.
Simplifying the equation, we get:
25 − √25 + 2 = 27 − 5 + 2 = 24 = 7.
Therefore, x = 25 makes the equation true.
Substituting x = 30 into the equation:
30 − √30 + 2 = 7.
Simplifying the equation, we get:
30 − √30 + 2 = 32 − √30 ≠ 7.
Therefore, x = 30 does not make the equation true.
The value of x that makes the equation x − √x + 2 = 7 true is x = 25.
Which value of x makes the equation x−−√+2=7 true: 20, 25, or 30?
1 answer