The nature of roots of x2-3 x-2-0 will be-A- Two distinct real rootsB- Two equal real rootsC- No real rootsD- None of these

The correct option is A Two distinct real roots We have, x^2 3x + 2 = 0 ⇒ D = b^2 4ac ⇒ ( 3)^2 4×1×2 gt; 0 ⇒ 1 gt; 0 Since, D gt; 0, roots are ...

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Standard X

Mathematics

Nature of Roots

The nature of...

Question

The nature of roots of $x^{2} - 3 x + 2 = 0$ will be:

Two distinct real roots

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Two equal real roots

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No real roots

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None of these

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Solution

The correct option is A
Two distinct real roots

We have, $x^{2} - 3 x + 2 = 0$

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

$\Rightarrow (- 3)^{2} - 4 \times 1 \times 2 > 0$

$\Rightarrow 1 > 0$

Since, $D > 0$ , roots are distinct and real.

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The nature of roots of x2−3x+2=0 will be:

The correct option is A Two distinct real roots We have, x2−3x+2=0 ⇒D=b2−4ac ⇒(−3)2−4×1×2>0 ⇒1>0 Since, D>0, roots are distinct and real.

The nature of roots of $x^{2} - 3 x + 2 = 0$ will be:

The correct option is A
Two distinct real roots

We have, $x^{2} - 3 x + 2 = 0$

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

$\Rightarrow (- 3)^{2} - 4 \times 1 \times 2 > 0$

$\Rightarrow 1 > 0$

Since, $D > 0$ , roots are distinct and real.