Question

x^2 +32x-576=0 solve​

Answer 1

Step-by-step explanation:

i can't get it properly sorry..

Answer 2

hi mate

• so to find

x^2 +32x-576=0

solution

Solving x2+32x-576 = 0 by the Quadratic Formula .

According to the Quadratic Formula, x , the solution for Ax2+Bx+C = 0 , where A, B and C are numbers, often called coefficients, is given by :

- B ± √ B2-4AC

x = ————————

2A

In our case, A = 1

B = 32

C = -576

Accordingly, B2 - 4AC =

1024 - (-2304) =

3328

Applying the quadratic formula :

-32 ± √ 3328

x = ———————

2

Can √ 3328 be simplified ?

Yes! The prime factorization of 3328 is

2•2•2•2•2•2•2•2•13

To be able to remove something from under the radical, there have to be 2 instances of it (because we are taking a square i.e. second root).

√ 3328 = √ 2•2•2•2•2•2•2•2•13 =2•2•2•2•√ 13 =

± 16 • √ 13

√ 13 , rounded to 4 decimal digits, is 3.6056

So now we are looking at:

x = ( -32 ± 16 • 3.606 ) / 2

Two real solutions:

x =(-32+√3328)/2=-16+8√ 13 = 12.844

or:

x =(-32-√3328)/2=-16-8√ 13 = -44.844

Two solutions were found :

x =(-32-√3328)/2=-16-8√ 13 = -44.844

x =(-32+√3328)/2=-16+8√ 13 = 12.844

i hope it helpfull to you..