check weather the quadratic equations
(x-2)(x+1)=
(x+1)(x-3)
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10th
>Maths
>Quadratic Equations
>Standard Form of Quadratic Equations
>STATEMENT - 1 : (x - 2)(x +...
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STATEMENT - 1 : (x−2)(x+1) = (x−1)(x+3) is a quadratic equation.
STATEMENT - 2 : If p(x) is a quadratic polynomial, then p(x) = 0 is called a quadratic equation.
A
Statement - 1 is True, Statement - 2 is True, Statement - 2 is a correct explanation for Statement - 1
B
Statement - 1 is True, Statement - 2 is True : Statement 2 is NOT a correct explanation for Statement - 1
C
Statement - 1 is True, Statement - 2 is False
D
Statement - 1 is False, Statement - 2 is True
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Correct option is
D
Statement - 1 is False, Statement - 2 is True
Given equation (x−2)(x+1)=(x−1)(x+3)
To find whether the given equation is a quadratic equation or not
Sol:
(x−2)(x+1)=(x−1)(x+3)⟹x2+x−2x−2=x2+3x−x−3⟹x2−x2+x−2x−3x+x−2+3=0⟹−3x+1=0
This is not a quadratic equation as an equation of degree two is called a quadratic equation.
And, a polynomial when equated to zero or some value becomes an equation.
Step-by-step explanation:
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