form the quadratic equation from the given roots √2+√3 and √2-√3
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Answered by
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Answer:
Quadratic equation=x²-2√2x-1
Step-by-step explanation:
α=√2+√3, β=√2-√3
Quadratic equation
=x²-(α+β)x+αβ
=x²-(√2+√3+√2-√3)x+(√2+√3)(√2-√3)
=x²-(√2+√2+√3-√3)x+(√2)²-(√3)²
=x²-2√2x+2-3
=x²-2√2x-1
Answered by
0
Answer:
x²-2√2x-1
Step-by-step explanation:
Quadratic equation
= k[x²-((√2+√3)+(√2-√3))x+(√2+√3)(√2-√3)]
= k[x²-2√2x+((√2)²-(√3)²)]
= k[x²-2√2x-1]
= x²-2√2x-1
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