Question

ʜᴇʟʟᴏ

ᴍᴀᴛʜꜱ
ᴄʟᴀꜱꜱ 10
ᴄʜ - qᴜᴀᴅʀᴀᴛɪᴄ ᴇqᴜᴀᴛɪᴏɴꜱ
•ᴩʟᴇᴀꜱᴇ ᴀɴꜱᴡᴇʀ ᴛʜᴇ qᴜᴇꜱᴛɪᴏɴ.
•ᴩʟᴇᴀꜱᴇ ᴀɴꜱᴡᴇʀ ᴀʟʟ ᴛʜᴇ ᴩᴀʀᴛꜱ ᴏꜰ qᴜᴇꜱᴛɪᴏɴ.

ᴛʜᴀɴᴋꜱ​​

Answer 1

Step-by-step explanation:

If the equaion x2 + kx + 64=0 has real roots, then D>=0

k2 -256> = 0→ k2 > = 256 → k2 > = (16)2  → k> =16.- (1)

if the equation x2 - 8x + k =0 has real roots.

then D> = 0  → 64- 4k > = 0 → 4k<= 64  → k < =16 - (2)

from (1) and (2) we get k=16

Answer 2

Hello Dear!

Here's your Answer.

Kindly refer to the attachment!