Math, asked by mandadinanihemanth, 10 months ago

14. Represent (x-2)(3x + 5) = 2x (x-4) is a form of quadratic equation​

Answers

Answered by MaheswariS
3

\textbf{Concept:}

\text{An equation of the form $ax^2+bx+c=0$ is called}\;\textbf{Quadratic equation}

\textbf{Given:}

(x-2)(3x+5)=2x(x-4)

\text{Using term by term multiplication}

3x^2+5x-6x-10=2x^2-8x

3x^2-x-10=2x^2-8x

3x^2-2x^2-x+8x-10=0

x^2+7x-10=0

\therefore\textbf{Quadratic form of given equation is $\bf\,x^2+7x-10=0$}

Find more:

The equation whose roots are smaller by 1 than those of 2x2 – 5x + 6 = 0 is 

a) 2x^2– 9x + 13 = 0

b) 2x^2– x + 3 = 0 

c) 2x^2+ 9x + 13 = 0

d) 2x^2 + x + 3 = 0​

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If alpha,beta are the roots of equation x^2-5x+6=0 and alpha > beta then the equation with the roots (alpha+beta)and (alpha-beta) is

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If alpha and beta are zeroes of quadratic polynomial x2 -(k+6x)+2(2k-1) 

find k if alpha +beta=1/2alpha beta 

2)If alpha and beta are zeroes of x2-6x+a, find the value of a if 3alpha+2beta=20

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