Math, asked by manav1380, 8 months ago

y^2-4y-1=0 . solve quadratic equation​

Answers

Answered by rupakborah319
9

Answer:

see in the picture hope this help you

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Answered by ritikapvrchaudhary
8

Answer:

y²-4y-1=0

using quadratic formula:

a = 1, b = -4, c = -1

∴  D = b² - 4ac = (-4)² - 4(1)(-1) = 20

20<0 in this case, the roots are real and distinct

let roots of given equation be α and β

α = -b+√d/2a

⇒ α = 4 + 2√2 / 2 =2(2+√2)/2= 2+√2

β = -b-√d/2a

⇒ β = 4 - 2√2 / 2 =2(2-√2)/2= 2-√2

hence roots of equation are 2+√2, 2-√2

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