Solve −2x2 − 16x − 44 = 0. (2 points) solving quadratic equations with complex solutions

Step-by-step explanation:

x = -4 + i√6 and x = -4-i√6

Step-by-step explanation:

Solution for quadratic equation

x = [-b ± √(b² - 4ac)]/2a

Here the quadratic equation is

-2x² - 16x -44 = 0

To find the solution of equation

Here a = -2, b = -16 and c = -44

x = [-b ± √(b² - 4ac)]/2a

x =  [--16 ± √((-16)² - 4*-2*-44)]/2*-2

x = [16 ± √(256 - 352)]/-4

x =  [16 ± 4i√6]/-4

x = -(4 ± i√6)

x = -4 + i√6 and x = -4-i√6

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

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step-by-step explanation: