Solve using the Square Root Property square root of 1.7x^2 = square root of 1477.7

Math
1.7×2=1477.7
To remove the radical on the left side of the equation, square both sides of the equation.
1.7×22=1477.72
Simplify each side of the equation.
Tap for more steps…
Multiply the exponents in ((1.7×2)12)2.
Tap for more steps…
Apply the power rule and multiply exponents, (am)n=amn.
(1.7×2)12⋅2=1477.72
Cancel the common factor of 2.
Tap for more steps…
Cancel the common factor.
(1.7×2)12⋅2=1477.72
Rewrite the expression.
(1.7×2)1=1477.72
(1.7×2)1=1477.72
(1.7×2)1=1477.72
Simplify.
1.7×2=1477.72
Rewrite 1477.72 as 1477.7.
Tap for more steps…
Use axn=axn to rewrite 1477.7 as 1477.712.
1.7×2=(1477.712)2
Apply the power rule and multiply exponents, (am)n=amn.
1.7×2=1477.712⋅2
Combine 12 and 2.
1.7×2=1477.722
Cancel the common factor of 2.
Tap for more steps…
Cancel the common factor.
1.7×2=1477.722
Divide 1 by 1.
1.7×2=1477.71
1.7×2=1477.71
Evaluate the exponent.
1.7×2=1477.7
1.7×2=1477.7
1.7×2=1477.7
Solve for x.
Tap for more steps…
Divide each term by 1.7 and simplify.
Tap for more steps…
Divide each term in 1.7×2=1477.7 by 1.7.
1.7×21.7=1477.71.7
Cancel the common factor of 1.7.
x2=1477.71.7
Divide 1477.7 by 1.7.
x2=869.23529411
x2=869.23529411
Take the square root of both sides of the equation to eliminate the exponent on the left side.
x=±869.23529411
The complete solution is the result of both the positive and negative portions of the solution.
Tap for more steps…
First, use the positive value of the ± to find the first solution.
x=869.23529411
Next, use the negative value of the ± to find the second solution.
x=-869.23529411
The complete solution is the result of both the positive and negative portions of the solution.
x=869.23529411,-869.23529411
x=869.23529411,-869.23529411
x=869.23529411,-869.23529411
The result can be shown in multiple forms.
Exact Form:
x=869.23529411,-869.23529411
Decimal Form:
x=29.48279657…,-29.48279657…
Solve using the Square Root Property square root of 1.7x^2 = square root of 1477.7

Download our
App from the store

Create a High Performed UI/UX Design from a Silicon Valley.

Scroll to top