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Starting with x^2+2x+1=0 use the method of factorising to solve for x.

x 2 +2x+1=0, (x+1)(x+1)=0, (x+1) 2 =0. So x=-1
RD
Answered by Rebecca D. • Maths tutor
4567 Views

How do you differentiate a function?

The differential of a function is defined by the expression: dy/dx = Lim(dx->0) of (f(x+dx)-f(x))/dx. For functions only involving powers of x, the differentioal can easily be calculated by timesing by th...
MH
Answered by Max H. • Maths tutor
4284 Views

Line AB, with equation: 3x + 2y - 1 = 0, intersects line CD, with equation 4x - 6y -10 = 0. Find the point, P, where the two lines intersect.

Let eqn. 1 be: 3x + 2y - 1 = 0 & Let eqn. 2 be: 4x - 6y -10 = 0 Multiply eqn. 1 by a factor of 3, and add the two eqautions together. (This eliminates y from the equation) This gives: 9x + 6y - 3 = 0 + 4...
KS
Answered by Kris S. • Maths tutor
4472 Views

A straight line passes through the point (2,1) and has a gradient of 3. Find the co-ordinates of the points where this line intersects the axes

M=3 y1=1 x1=2 y-y1=m(x=x1) y-1=3(x-2) y-1=3(x-2) y-1=3x-6 y=3x-6 at the x axis, y=0. ‘Sub in to find the x co-rdinate: 0=3x-5 3x=5 x=5/3 (5/3, 0) at the y axis, x=0 y=(0X3)-5 y=-5 (0,-5)
AC
Answered by Anna C. • Maths tutor
8792 Views

A football is kicked at 30 m/s at an angle of 20° to the horizontal. It travels towards the goal which is 25 m away. The crossbar of the goal is 2.44 m tall. (A) Does the ball go into the goal, hit the crossbar exactly, or go over the top?

With questions about projectiles, such as a ball travelling in the shape of a parabola through the air as in the above question, it is always good to split the problem into the horizontal and vertical compon...
ES
Answered by Ehsaan S. • Maths tutor
14868 Views