Solve using the Square Root Property 9k^2+10=-108

Math
9k2+10=-108
Move all terms not containing k to the right side of the equation.
Tap for more steps…
Subtract 10 from both sides of the equation.
9k2=-108-10
Subtract 10 from -108.
9k2=-118
9k2=-118
Divide each term by 9 and simplify.
Tap for more steps…
Divide each term in 9k2=-118 by 9.
9k29=-1189
Cancel the common factor of 9.
Tap for more steps…
Cancel the common factor.
9k29=-1189
Divide k2 by 1.
k2=-1189
k2=-1189
Move the negative in front of the fraction.
k2=-1189
k2=-1189
Take the square root of both sides of the equation to eliminate the exponent on the left side.
k=±-1189
The complete solution is the result of both the positive and negative portions of the solution.
Tap for more steps…
Simplify the right side of the equation.
Tap for more steps…
Rewrite -1189 as (i3)2⋅118.
Tap for more steps…
Rewrite -1 as i2.
k=±i2(1189)
Factor the perfect power 12 out of 118.
k=±i2(12⋅1189)
Factor the perfect power 32 out of 9.
k=±i2(12⋅11832⋅1)
Rearrange the fraction 12⋅11832⋅1.
k=±i2((13)2⋅118)
Rewrite i2(13)2 as (i3)2.
k=±(i3)2⋅118
k=±(i3)2⋅118
Pull terms out from under the radical.
k=±i3⋅118
Combine i3 and 118.
k=±i1183
k=±i1183
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.
k=i1183
Next, use the negative value of the ± to find the second solution.
k=-i1183
The complete solution is the result of both the positive and negative portions of the solution.
k=i1183,-i1183
k=i1183,-i1183
k=i1183,-i1183
Solve using the Square Root Property 9k^2+10=-108

Download our
App from the store

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

Scroll to top