Answer:
3.4, 12.6
Explanation:
You want the approximate solutions to the equation x² -24x +70 = -8x +27.
Completing the square
We can do a little rearranging, then solve this by completing the square.
x² -16x = -43 . . . . . . . . add 8x-70
x² -16x +64 = 21 . . . . . add 64 to complete the square
(x -8)² = 21 . . . . . . . . . .write as a square
x -8 = ±√21 . . . . . . . . . take the square root
x = 8±√21 ≈ 3.4, 12.6
The values of x that satisfy this equation are about 3.4 and 12.6.
Additional comment
The equation has two solutions. We can't tell how you're supposed to enter the answer.
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