find the eqadratic equation whose roots are (6+✓5)and(6-✓5)
Answers
Answer:
given:(6+√5) (6-√5) therefore α=(6+√5) and β=(6-√5)
Step-by-step explanation:
now, quardratic equ.=x²-(α+β)x + αβ=0
=x²-(6+√5+6-√5)x6+√5×6-√5=0 =x²-12x+36-5=0
=x²-12x=31=0
answer
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Step-by-step explanation:
let the roots be x
x=6+√5 x=6-√5
x-6-√5=0 x-6+√5=0
(x-6-√5) (x-6+√5)=0
x²-6x+√5x-6x+36-6√5-√5x+6√5-(√5)²=0
x²-12x+36-5=0
x²-12x+31=0 ans.