Answer:
1. We square the expresion ✓2x+9 to remove the radical sign(√). For the expression to remain equal we need to also raise 5 by 2 the coefficient on the other side. Hence, 5².
2. For us to determine the value of x, we need to remove the whole number from 2x+9 by adding -9. When we do something from the one side we need to do it on the other side, so 5²- 9. 5 raised to 2 is 25, so 25-9.
Computation:
√2x+9=5
(√2x+9)²=(5)²
2x+9=25
2x+9-9=25-9
2x=16
2x÷2=16÷2
x=8
Checking:
√2x+9=5
√2(8)+9=5
√16+9=5
√25=5
5=5
Conclusion:
Therefore i conclude that, the value of x in the expresion √2x+9=5 is 8.
