Using quadratic formula, solve for x.
9x2 - 3(a + b)x + ab =0
2
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2
Answer:
Step-by-step explanation:⇒ Here, a=9,b=−3(a+b),c=ab
⇒ x=
2a
−b±
b
2
−4ac
=
2(9)
−[−3(a+b)]±
[−3(a+b)]
2
−4(9)(ab)
=
18
3a+3b±
9(a
2
+b
2
+2ab)−36ab
=
18
3a+3b±
9a
2
+9b
2
+18ab−36ab
=
18
3a+3b±
9a
2
+9b
2
−18ab
18
3a+3b±
9(a
2
+b
2
−2ab)
=
18
3a+3b±
9(a−b)
2
=
18
3a+3b±3(a−b)
=
18
3a+3b±3a−3b
x=
18
3a+3b+3a−3b
and x=
18
3a+3b−3a+3b
x=
18
6a
and x=
18
6b
∴ x=
3
a
,
3
b
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