Combine like terms. (4x^2-5x+6)+(9x^2-2x)-(11x-3)

13x^2 - 18x + 9

Step-by-step explanation:

Step 1:  Distribute the plus and minus signs

(4x^2 - 5x + 6) + (9x^2 - 2x) - (11x - 3)

4x^2 - 5x + 6 + 9x^2 - 2x - 11x + 3

Step 2:  Combine like terms

4x^2 - 5x + 6 + 9x^2 - 2x - 11x + 3

13x^2 - 18x + 9

 13x^2 - 18x + 9

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

no solution

step-by-step explanation:

there is not enough information in the problem to solve.