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Solution of Quadratic Equations

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What is quadratic formulae to find the solution of quadratic equation

If (2)/(3) and -(1)/(2) are solution of quadratic equation 6x^(2)+ax-b=0 , find the values of a and b.

Algorithm to find the solution of quadratic equation by completing the square: 9x^(2)-15x+6=0

If x=-3 and x=(2)/(3) are solution of quadratic equation mx^(2)+7x+n=0 , find the values of m and n.

Solution of the quadratic equation (3 |x| -3) ^(2) = |x| +7, which belongs to the domain of the function y = sqrt((x-4)x ) is :