Math, asked by yanshufaldu207, 10 months ago

Find the zeros of the polynomial x²-2√a x+(a-b)???
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Answers

Answered by Antiquebot
1

Hi there !!

p(x) = x² + 2√2x - 6

We can find the zeros by factorization [ by splitting the middle terms ]

x² + 2√2x - 6

x² + 3√2x - √2x - 6

x [ x + 3√2 ] - √2 [ x+ 3√2]

[ x - √2 ] [ x+ 3√2]

the zeros are = √2 and -3√2

α = √2

β = -3√2

a = 1

b = 2√2

c = -6

Sum of zeros = √2 + -3√2 = -2√2 = -b/a [ -b/a = -2√2 ]

Product of zeros = √2 × -3√2 = - 6 = c/a [c/a = -6/1 = -6]

Hope this helps you !!

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Answered by Jumbojoe
2

Answer:

√a+√b,√a-√b

Step-by-step explanation:

We know that the zero of a quadratic polynomial=[-b±√(b²-4ac)]/2a

From this, we know that Alpha=[-b+√(b²-4ac)]/2a & Beta=[-b-√(b²-4ac)]/2a

From substituting the respective values, we get

Alpha=[-(-2√a)+√(4a-4a-4b)]/2

=>2(√a+√b)/2

=>√a+√b

Therefore, we get Beta=√a-√b

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