Question

please guys answer my question if u know ??

Answer 1

Answer:

Step-by-step explanation:

Hope it helps

Answer 2

Answer:

k = 7/4

Step-by-step explanation:

Let f(x) = 2x² + px - 15 = 0.

Since, -5 is a root of equation.

So, f(-5) = 0

⇒ 2(-5)² + p(-5) - 15 = 0

⇒ 50 - 5p - 15 = 0

⇒ 35 - 5p = 0

⇒ 35 = 5p

⇒ p = 7

Let g(x) = p(x² + x) + k = 0.

px² + px + k = 0

7x² + 7x + k = 0

Given that the equation has real roots.

b² - 4ac = 0

⇒ (7)² - 4(7)(k) = 0

⇒ 49 - 28k = 0

⇒ 49 = 28k

⇒ k = 49/28

⇒ k = 7/4

Therefore, the value of k = 7/4.

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