Question

13.
Find the value of the discriminant of the quadratic equation

2x²- 4x + 3 = 0.​

Answer 1

GivEn:-

• p(x) = 2x² - 4x + 3 = 0

To find:-

• Value of discriminant of the quadratic equation.

Solution:-

The given equation is in form of standard quadratic equation

which is ax² + bx + c = 0

p(x) = 2x² - 4x + 3 = 0

Here,

• a = 2
• b = -4
• c = 3

Therefore, the discriminant (D) :-

D = b² - 4ac

= (-4)² - 4 × 2 × 3

= 16 - 24

= -8

Therefore, -8 < 0

Discriminant is less than 0.

★ Hence, the given Equation has no real roots.

Answer 2

${\huge{\bold{\purple{\bigstar{\boxed{\boxed{\bf{Question}}}}}}}}$

Find the value of the discriminant of the quadratic equation

2x²- 4x + 3 = 0.

${\huge{\bold{\purple{\bigstar{\boxed{\boxed{\bf{Solution}}}}}}}}$

$\sf{\bold{\blue{\underline{\underline{Given}}}}}$

• $p_x = 2x^2 - 4x + 3$

$\sf{\bold{\green{\underline{\underline{To\:find}}}}}$

• Discrimination of the quadratic equation .

$\sf{\bold{\pink{\underline{\underline{Explanation}}}}}$

The given equation is of the form ax2 + bx + c = 0, where

a = 2,

b = – 4

c = 3

$\sf{\bold{\orange{\boxed{\boxed{Discrimination = b^2 - 4ac}}}}}$

$\sf \implies {- 4^2 - 4 \times 2 \times 3}$

$\sf \implies{ 16 - 24}$

$\sf \implies{ -8 < 0}$

• discrimation is less than zero ( 0 ).
• Hence, no real roots are there.

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