Question

If each root of the equation x²+11x+13=0 is diminished by 4, then the transformed equation is?​

Answer 1

Answer:

Step-by-step explanation:

Therootsoftheequationx  

2

+11x+13=0isdiminishedby4i.e.

thevariablebecomes(x+4).

∴Then  equation is

(x+4)  

2

+11(x+4)+13=0

⇒x  

2

+8x+16+11x+44+13=0

⇒x  

2

+19x+73=0

Answer 2

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f(x+4)=0 → (x+4)²+11(x+4)+13

→ x²+19x+73=0

ᴛʜᴇʀᴇғᴏʀᴇ,

ᴛʜᴇ ᴛʀᴀɴsғᴏʀᴍᴇᴅ ᴇǫᴜᴀᴛɪᴏɴ ɪs x²+19x+73=0