Solve by using the quadratic formula.

b.x = -4/3+4/3i , -4/3-4/3i

Step-by-step explanation:

We have given a quadratic equation.

9x²+24x+32  = 0

We have to find the solution of given equation by using the quadratic formula.

From given equation,

a  = 9,b = 24 and c = 32

x = (-b±√b²-4ac) / 2a is quadratic formula to solve equation.

Putting values in above formula, we have

x = (-24±√(24)²-4(9)(32) ) / 2(9)

x = (-24±√576-1152) / 18

x = (-24±√-576) / 18

x = -24 ± 24i  / 18

x = 6(-4±4i) / 18

x = -4±4i / 3

x = -4/3+4/3i , -4/3-4/3i which is the solution.

$9.89

step-by-step explanation:

9.90 = p x .06 x .25 (3/12 changed to a decimal)

9.90 = p x 0.015

9.90 - 0.015 = p

9.89 = p

5=812a+9+3

step 1: simplify both sides of the equation.

5=812a+9+3

5=(812a)+(9+3)(combine like terms)

5=812a+12

5=812a+12

step 2: flip the equation.

812a+12=5

step 3: subtract 12 from both sides.

812a+12−12=5−12

812a=−7

step 4: divide both sides by 812.

812a /812 = -7/812

a= -1/116

so the answer is

a=   -1/116