Question

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

Answer 1

Answer: - 1.536 or - 8.464

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=
`(-10+/- √(100-52) )/(2)`
x=
`(-10+/- √(48) )/(2)`
x=
`(-10+/- 4√(3) )/(2)`
x=
`-5+/- 2√(3)`


x=
`-5+ 2√(3)` or
`-5- 2√(3)`

aprox
x=-1.5359 or -8.4641