find the roots of the quadratic equation x²+7x-6=0 by using complete square method?
Answers
Answered by
5
Answer:
Take the coefficient of x and divide by 2. The formula is (b/2)^2 = (7/2)^2 = 49/4. x = 7/2 + root 73/2 and x = 7/2 - root 73/2. Hope this helps
Step-by-step explanation:
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Answered by
2
Step-by-step explanation:
The quadratic formula states that for a quadratic equation
a
x
2
+
b
x
+
c
, its roots,
x
can be computed as
x
=
−
b
±
√
b
2
−
4
a
c
2
a
Consider the quadratic equation
x
2
−
7
x
−
6
=
0
. It has coefficients
a
=
1
,
b
=
−
7
and
c
=
−
6
. To solve for
x
, we plug these numbers into the quadratic formula.
x
=
−
(
−
7
)
±
√
(
−
7
)
2
−
4
(
1
)
(
−
6
)
2
(
1
)
x
=
7
±
√
73
2
Hence,
x
=
7
+
√
73
2
or
x
=
7
−
√
73
2
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