What are the solutions of the equation
x^2 - 30 = x?

x = 6 , − 5

Step-by-step explanation:

Move  x   to the left side of the equation by subtracting it from both sides.  x^ 2 − 30 − x = 0

x2-30-x=0

Use the quadratic formula to find the solutions. − b ± √ b 2 − 4 ( a c )/ 2 a  

-b±b2-4(ac)/2a  

Substitute the values  

a = 1  ,  b = − 1  , and  c = − 30  

into the quadratic formula and solve for  x

x . 1 ± √ ( − 1 ) 2 − 4 ⋅ ( 1 ⋅ − 30 )/ 2 ⋅ 1    

Simplify.

x = 1 ± 11/ 2    

The final answer is the combination of both solutions.

x = 6 , − 5

step-by-step explanation: