9x^(2)-30x-14

9x^(2)+25-30x can be expressed as the square of 3x^(2)-25 (b) 3x-5(c)-3x-5 (d) 3x-5

Find the nature of the roots of the following equation, without finding the roots. 9x^(2)-30x+25=0

Find the nature of the roots of the following equation, without finding the roots. 9x^(2)-30x+25=0

Suppose that two persons A and B solve the equation x^(2)+ax+b=0 . While solving A commits a mistake in constant term and find the roots as 6 and 3 and B commits a mistake in the coefficient of x and finds the roots as -7and-2 .Then , the equation is a) x^(2)+9x+14=0 b) x^(2)-9x+14=0 c) x^(2)+9x-14=0 d) x^(2)-9x-14=0

Factorise : 9x^(2) - 30xy + 25y^(2)

Prove that the equation 6x^(2)+xy-12y^(2)-14x+47y-40=0 and 14x^(2)+xy^(2)-30x+15y=0 represents two pairs of concurrrent lines and that pair of lines area equally inclined to each other.

Let f(x)=x^(3)-9x^(2)+30x+5 be a differentiable function of x , then -

If two roots are 9x^(3)-30x^(2)+31x-10=0 are in the ratio 2:5 then the roots are