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a)By completing the square, prove the quadratic formula starting from ax^2+bx+c=0, b) hence, or otherwise solve 3x^2 + 7x -2= 9, to 3s.f.

a)starting from ax²+bx+c=0, divide through by a, x²+(b/a)x+c/a=0, complete the square (x+(b/2a))²-(b/2a)² +c/a=0, expand (x+(b/2a))²-(b²/4...

Answered by Yusuf H. • Maths tutor

3330 Views

find the diffrential of 3sin2x+4cos2x

dy/dx=6cos2x-8sin2xExplanation: cos x difrentiates to -sinx, we must times the coefficient of cos2x,(4) , by the differential of 2x (ie 2), giving -(4x2)sin2x.Similarly, sinx differentiates cosx, so using...

Answered by Amy C. • Maths tutor

5480 Views

A curve has equation y = e^(3x-x^3) . Find the exact values of the coordinates of the stationary points of the curve and determine the nature of these stationary points.

In order to find the stationary points we need to find the first derivative, set it to 0 and solve for x. We can then use this value to find the value for y.y = e^{(3x-x^3)}We know for the derivat...

Answered by Philip M. • Maths tutor

5467 Views

Solve 7x + 6 > 1 + 2x

To solve a question we want to get the x terms and one sides, the variables, and the numbers on the other side, the constants.7x + 6 > 1 + 2xSubtract 2x from 7x so we only have x terms on the left hand...

Answered by Philip M. • Maths tutor

3020 Views