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

Mathematics

2 answers:

kkurt [141]3 years ago

5 0

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 = ————————

Where A= 1

B = 10

C = 13

B2 - 4AC = 100 - 52

= 48

10 ± √ 48

x = —————

- √ 48

x =(10-√48)/2=5-2√ 3 = - 1.536

x =(10+√48)/2=5+2√ 3 = - 8.464

Are the two solutions

zalisa [80]3 years ago

3 0

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

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