Check if x(x + 1) + 8 = (x + 2) (x – 2) is in the form of quadratic equation.
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x(x + 1) + 8 = (x + 2) (x – 2)
x2+x+8 = x2-22 [By algebraic identities]
Cancel x2 both the sides.
x+8=-4
x+12=0
Since, this expression is not in the form of ax2+bx+c, hence it is not a quadratic equation.
Answered by
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Answer:
✒solution:
Since x(x + 1) + 8 = x2 + x + 8 and (x + 2)(x – 2) = x2 – 4
Therefore, x2 + x + 8 = x2 – 4
i.e., x + 12 = 0
It is not of the form ax2 + bx + c = 0.
Therefore, the given equation is not a quadratic equation..
Explanation:
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