What number is represented by 4x²+17x+2 if x=−2 or if xx=2/3?

-16

15.11

Step-by-step explanation:

We are given an expression which is a function of x and it is 4x² + 17x + 2 (1)

We have to find the number which is represented by the above expression when x= -2 or when x= 2/3.

For, x= -2, putting  -2 in place of x in the expression (1), we get

4(-2)² + 17(-2) +2 =16 -34 +2= -16 (Answer)

For, x=  2/3, putting  2/3 in place of x in the expression (1), we get

4(2/3)² +17(2/3) +2 = 15.11 (Answer)

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