Verified Answer :

apologiabiology

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





fatimakincsem

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

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