Find the discriminant of the quadratic equation 3 x 2-5 x -2-0 and find the nature of their roots-A- -1- two distinct real rootsB- 1 - two equal rootsC- -1- no real rootsD- 1 - two distinct real roots

The correct option is D 1, two distinct real roots D = b^2 – 4ac =(–5)^2 – 4 × 3 × 2 = 1 0 D = 1 0 ⇒ Two distinct real roots. ...

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Standard X

Mathematics

Nature of Roots

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Question

Find the discriminant of the quadratic equation $3 x^{2} - 5 x + 2 = 0$ and find the nature of their roots.

1, two distinct real roots

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–1, two distinct real roots

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1, two equal roots

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–1, no real roots

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Solution

The correct option is A
1, two distinct real roots

D = $b^{2} - 4 a c$

= $(- 5)^{2} - 4 \times 3 \times 2$

= $1 > 0$

D = $1 > 0$

$\Rightarrow$ Two distinct real roots.

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Find the discriminant of the quadratic equation 3x2–5x+2=0 and find the nature of their roots.

The correct option is A 1, two distinct real roots D = b2–4ac =(–5)2–4×3×2 = 1>0 D = 1>0 ⇒ Two distinct real roots.

Find the discriminant of the quadratic equation $3 x^{2} - 5 x + 2 = 0$ and find the nature of their roots.

The correct option is A
1, two distinct real roots

D = $b^{2} - 4 a c$

= $(- 5)^{2} - 4 \times 3 \times 2$

= $1 > 0$

D = $1 > 0$

$\Rightarrow$ Two distinct real roots.