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Quadratic Polynomials

Question 6 Is...

Question

Question 6
Is 0.2 a root of the equation $x^{2}$ – 0.4 = 0? Justify your answer.

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Solution

No, since 0.2 does not satisfy the quadratic equation i.e. $(0.2)^{2}$ -0.4 = 0.04 – 0.4 $\neq$ 0.

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Q. Question 6
Is 0.2 a root of the equation

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Question 6
Is 0.2 a root of the equation $x^{2}$ – 0.4 = 0? Justify your answer.

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Q. (1)
State whether the following quadratic equation have two distinct real roots. Justify your answer.
(i)

x^{2} - 3 x + 4 = 0

(2)
State whether the following quadratic equation have two distinct real roots. Justify your answer.
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2 x^{2} + x - 1 = 0

(3)
State whether the following quadratic equation have two distinct real roots. Justify your answer.
(iii)

2 x^{2} - 6 x + \frac{9}{2} = 0

(4)
State whether the following quadratic equation have two distinct real roots. Justify your answer.
(iv)

3 x^{2} - 4 x + 1 = 0

(5)
State whether the following quadratic equation have two distinct real roots. Justify your answer.
(v)

(x + 4)^{2} - 8 x = 0

(6)
State whether the following quadratic equation have two distinct real roots. Justify your answer.
(vi)

(x - \sqrt{2})^{2} - 2 (x + 1) = 0

(7)
State whether the following quadratic equation have two distinct real roots. Justify your answer.
(vii)

\sqrt{2} x^{2} - \frac{3}{\sqrt{2}} x + \frac{1}{\sqrt{2}} = 0

(8)
State whether the following quadratic equation have two distinct real roots. Justify your answer.
(viii)

x (1 - x) - 2 = 0

(9)
State whether the following quadratic equation have two distinct real roots. Justify your answer
(ix)

(x - 1) (x + 2) + 2 = 0

(10)
State whether the following quadratic equation have two distinct real roots. Justify your answer.
(x)

(x + 1) (x - 2) + x = 0

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Quadratic Polynomials

Standard X Mathematics

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