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Formation of a Quadratic Equation From It's Roots

if α and β ar...

Question

if α and β are the zeroes of x²+5x+8 then find the value of α + β

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Solution

if α and β are the zeroes of ax^2+bx+c then the value of sum of roots α + β = - b/a
Product of roots αβ = c/a
So here α + β = - 5/1 = - 5

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If α, β are zeroes of the polynomial f(x) = x² + 5x + 8, then value of (α + β) is

Q. If α and β are the zero of x² + 5x + 8, then the value of (α + β) is

(a) 5
(b) −5
(c) 8
(d) −8

α

β

are the zeros of the quadratic polynomial

x^{2} + 5 x - k

α - β = 1

, then find the value of

k

α

β

are the zeroes of the polynomial

x^{2} - 5 x + 6

then find the value of

\frac{1}{α^{2}} + \frac{1}{β^{2}}

α

β

are the zeroes of a polynomial

x^{2} - 4 \sqrt{3} x + 3

, then find the value of

α + β - α β

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Formation of a Quadratic Equation From It's Roots

Standard X Mathematics

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