Question

please tell me fast​

Answer 1

Answer:

(a) No real roots

Step-by-step explanation:

Give a quadratic equation such that,

2x^2 -3x +5 = 0

To know the nature of roots.

We know that,

Discriminant, D of a quadratic equation decides it's nature of roots.

For real and distinct roots, D > 0.

For real and equal roots, D = 0.

For imaginary roots, D < 0.

But, we know that,

D = b^2 - 4ac

Where, We have,

• a = 2
• b = -3
• c = 5

Substituting the values, we will get,

=> D = (-3)^2 -4(2)(5)

=> D = 9 - 40

=> D = -31

Clearly, we have, D < 0

Hence, the correct option is (a) no real roots.

Answer 2

Given that ,

The polynomial is 2x² - 3x + 5

We know that , the discriminant of quadratic polynomial is given by

D = b² - 4ac

Thus ,

$\sf \mapsto D = { (- 3)}^{2} - 4 \times 2 \times 5 \\ \\ \sf \mapsto D = 9 - 40 \\ \\ \sf \mapsto D = - 31 < 0$

$\therefore \sf \underline{The \: given \: quadratic \: eq \: has \: unequal \: and \: imaginary \: roots \: (unreal \: roots)}$