Question

7. 2x2 + 5 x + 6 = 0 have
c) No Real roots d) Real and Distinct roots

Answer 1

Answer:

2x² + 5x + 6 has no real roots

Step-by-step explanation:

We can find whether a Quadratic equation is real and/or equal using Discriminant,

Thus, when

D > 0 [Real and Distinct roots]

D = 0 [Real and equal roots]

D < 0 [No Real roots]

Now,

D = b² - 4ac

Here,

2x² + 5x + 6 = 0

ax² + bx + c = 0

where a = 2, b = 5, c = 6

Thus, its Discriminant,

D = b² - 4ac

D = 5² - 4(2)(6)

D = 25 - 48

D = -23

Here,

-23 < 0

So,

D < 0

So, it has No real roots

Thus,

2x² + 5x + 6 has no real roots.

Hope it helped and believing you understood it........All the best