Question

What is the solution of the following question? x^2+10x+25=12

Answer 1

Answer: - 1.536  or - 8.464  

Step-by-step explanation:

Step 1: Rearrange the equation, by putting everything on the left hand side of the equation so that the quadratic formula can be applicable to the equation  

x^2-10*x+25-(12)=0  

Step 2: the quadratic formula

                       

           - B  ±  √ B2-4AC

 x =   ————————

                     2A    

Where A= 1

B = 10

C = 13

B2  -  4AC =  100 - 52  

= 48

            10 ± √ 48  

  x  =    —————

                   2

      -   √ 48  

x =(10-√48)/2=5-2√ 3 =  - 1.536  

x =(10+√48)/2=5+2√ 3 = - 8.464  

Are the two solutions

Answer 2

Make equal to 0
minus 12from both sides
x^2+10x+13=0
we can't factor so use quadratic formula

x= $\frac{-b+/- \sqrt{b^{2}-4ac} }{2a}$
x= $\frac{-10+/- \sqrt{10^{2}-4(1)(13)} }{2(1)}$
x= $\frac{-10+/- \sqrt{100-52} }{2}$
x= $\frac{-10+/- \sqrt{48} }{2}$
x= $\frac{-10+/- 4\sqrt{3} }{2}$
x= $-5+/- 2\sqrt{3}$


x= $-5+ 2\sqrt{3}$ or $-5- 2\sqrt{3}$

aprox
x=-1.5359 or -8.4641