solve the following quadratic equation by factorisation method . X²+7x+12=0
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Answered by
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Answer:
Given x
2
−7x+12=0
This is in the form ax
2
+bx+c=0 where, a = 1, b = -7 and c = 12
Quadratic formula is, x=
2a
−b±
b
2
−4ac
By substituting the values, we get
x=
2×1
−(−7)±
(−7)
2
−4×1×12
=
2
7±
49−48
=
2
7±
1
=
2
7±1
If x=
2
7+1
=
2
8
=4 x=
2
7−1
=
2
6
=3
∴ 4 and 3 are the roots of x
2
−7x+12=0
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