x^2 +32x-576=0 solve
Answers
Step-by-step explanation:
i can't get it properly sorry..
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..