Multiply (6 – 7i)(3 – 6i).
a. 18 – 57i 42i2
b. 18 42i2
c. 60 – 57i
d. –24 – 57i

 The correct option is

(d)

Step-by-step explanation:  We are given to multiply the following two complex numbers :

To multiply the given complex numbers, we need to multiply the real and imaginary parts of one complex number number with the real and imaginary parts of the other.

The multiplication is as follows :

Thus, the required multiplied form is

Option (d) is CORRECT.

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