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if alpha and beta are zeroes of 2x2 5x7

if alpha and beta are zeroes of 2x2 5x7

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if alpha and beta are zeroes of 2x2 5x7
If alpha and beta are the zeros of the polynomial 2x2+5x+k , If alpha and beta are the zeros of the polynomial 2x^2-5x+7, then 2alpha+3beta and 3alpha+2beta, if alpha and beta are the zeros of the polynomial 2x^2 , If alpha and beta are zeroes of 2x^2+5x-10, then what is , If alpha, beta re the zeros of 2x2-4x+5 find the value of (i) alpha2 + beta2 (ii) (alpha-beta)2, If alpha ,beta are zeroes of the polynomial 2x2-4x+5 find , , , .
Hey!______________Zeroes are @ (alpha) and ß (beta)Quadratic polynomial = 2x^2 + 5x + kWhere,a = 2b = 5c = kWe know,Sum of zeroes ( @ + ß ) = - b/a = -5/2Product of zeroes ( @ß) = c/a = k / 2Now,Squaring both sides -:( @ + ß ) ^2 = (-5/2)^2@^2 + ß + ß^2 = 25/4@^2 + @ß + @ß + ß^2 = 25/4@^2 + ß^2 + @ß + @ß = 25/4Given, @^2 + ß^2 + @ß = 21/4So,21/4 + k/2 = 25/4k/2 = 25 / 4 - 21/4k/2 = 25 - 21/4k/2 = 4/4k/2 = 1k = 2 × 1k = 2Value of k = 2______________Hope it helps...!!!. If alpha and beta are the zeros of the polynomial 2x2+5x+k, find k such that (alpha)2+(beta)2+(alpha)*(beta)=24. If alpha and beta are the zeros of the polynomial 2x^2-5x+7, then find the polynomial whose zeros are 2alpha+3beta and 3alpha+2beta.
If alpha and beta are the zeros of the polynomial 2x^2 + 5x + k . satisfying the relation Alpha square + beta square + alpha beta = 21/4 . find the value of k. If alpha and beta are the zeros of the polynomial such that alpha+beta=13/5 and alpha×beta=6/5, then what is the value of an alpha and a beta? How can we find the value of alpha minus beta? If alpha, beta, and gamma are the zeroes of polynomial 6x2+3x2-5x+1, what is the value of alpha^-1+beta^-1+gamma^-1?. If alpha, beta re the zeros of the polynomial 2x2-4x+5 find the value of (i) alpha2 + beta2 (ii) (alpha-beta)2.. If alpha ,beta are zeroes of the polynomial 2x2-4x+5 find the value of root alpha-1/alpha+1,beta-1/beta+1. . .
 
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