Question

find the roots of the following quadratic equation by applying the quadratic formula 2x^2-7x+3=0​

Answer 1

Solution:

Given equation,

→ 2x² - 7x + 3 = 0

Comparing with ax² + bx + c = 0, we get,

→ a = 2

→ b = -7

→ c = 3

Calculate the discriminant.

→ D = b² - 4ac

→ D = (-7)² - 4 × (2) × (3)

→ D = 49 - 24

→ D = 25

Quadratic Formula is given as –

→ x = (-b ±√D)/2a where D is the discriminant.

→ x = (7 ± √25)/4

→ x = (7 ± 5)/4

So,

→ x = (7 + 5)/4 and (7 - 5)/4

→ x = 12/4 and 2/4

→ x = 3 and 1/2

Answer:

• x = 3 and 1/2.

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Answer 2

Step-by-step explanation:

Solution:✍️

Given equation,

→ 2x² - 7x + 3 = 0

✨Comparing with ax² + bx + c = 0, we get,

→ a = 2

→ b = -7

→ c = 3

✨Calculate the discriminant.

→ D = b² - 4ac

→ D = (-7)² - 4 × (2) × (3)

→ D = 49 - 24

→ D = 25

✨Quadratic Formula is given as –

→ x = (-b ±√D)/2a where D is the discriminant.

→ x = (7 ± √25)/4

→ x = (7 ± 5)/4

✨So,

→ x = (7 + 5)/4 and (7 - 5)/4

→ x = 12/4 and 2/4

→ x = 3 and 1/2

Answer:

x = 3 and 1/2.

hope this helps you!