If it is written in the original form, it doesn't look
like a quadratic equation, but it is.
We have to isolate x
to the left side. For this reason, we'll have to multiply both sides by the denominator
x+1.
(3 + x)(x + 1) = 24(x + 1)/ (x +
1)
We'll simplify and we'll
get:
(3 + x)(x + 1) = 24
We'll
remove the brackets:
3x + 3 + x^2 + x - 24 =
0
We'll combine like
terms:
x^2 + 4x - 21 =
0
Since the maximum order of
the equation is 2, the equation is a
quadratic.
The number of the roots is 2 and
the formula for finding the roots is:
x1 = [-b+sqrt(b^2 -
4ac)]/2a
x2 = [-b-sqrt(b^2 -
4ac)]/2a
Let's identify
a,b,c:
a = 1
b =
4
c = -21
x1 =
[-4+sqrt(16+84)]/2
x1 =
(-4+10)/2
x1 =
3
x2
= (-4-10)/2
x2 =
-7
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