Question

6x-2/x=1 Solve this quadratic equation by factorisation.

Answer 1

SOLUTION IS IN THE ATTACHMENT.

THE SOLUTION OF QUADRATIC EQUATION BY FACTORISATION:
To find the solution of a quadratic equation by factorisation method, we first write a given quadratic polynomial as product of two linear factors by splitting the middle term and then equate each factor to zero to get desired roots of given quadratic equation.


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Answer 2

THE SOLUTION OF QUADRATIC EQUATION BY FACTORISATION METHOD;

first we have to make it in the form of "ax² + bx + c = 0" after we have to split middle term as gives sum = middle term and
producticient = cofficient of x² * constant

now, 6x - 2/x = 1
now change it in the general formula "ax² + bx + c = 0"

(6x² - 2)/x = 1
6x² - 2 = x
6x² - x - 2 = 0
6x² - 4x + 3x - 2 = 0
2x(3x - 2) + 1(3x - 2) = 0
(2x + 1)(3x - 2) = 0
x = -1/2 , x = 2/3