Solve 5x−3−−−−−√5=2 and choose the correct value.(1 point)

Responses

x=35
x equals Start Fraction 3 over 5 End Fraction

x=−295
x equals negative Start Fraction 29 over 5 End Fraction

x=7
x equals 7

x=45
x equals Start Fraction 4 over 5 End Fraction

1 answer

To solve the equation 5x - √5 = 2, we need to isolate the variable x.

First, let's move the constant term (√5) to the other side of the equation:

5x = 2 + √5

Next, let's divide both sides of the equation by 5:

x = (2 + √5) / 5

Using a calculator, we can simplify the expression on the right to get the decimal value of x.

Calculating (2 + √5) / 5 ≈ 1.389...

Rounded to the nearest hundredth, x ≈ 1.39.

Therefore, the correct value is x = 1.39.