Check whether x(x + 1) + 8 = (x + 2)(x − 2) is a quadratic equations.
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Answer:
Given that: x(x+1)+8=(x+2)(x−2)
By simplifying we get
x
2
+x+8=x
2
−4
x
2
−x
2
+x+8+4=0
x+12=0
It is not of the form ax
2
+bx+c=0
The variable x is only in the first degree.
∴ It is not a quadratic equation.
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