Answer:
x = 6 , − 5
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