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Solve x^2=4(x-3)^2

expand the brackets to obtain x^2=4(x^2-6x+9)expand the brackets to obtain x^2=4x^2-24x+36rearrange to obtain 0=3x^2-24x+36factorise to obtain 0=(3x-6)(x-6)solve for x=6 or x=2
EE
Answered by Edwin E. • Maths tutor
3594 Views

Differentiate (with respect to x), y=2x^2+8x+5.

y= 2x^2 + 8x + 5 is a simple quadratic equation and can be easily differentiated. Consider it in different terms working from left to right: y converts to dy/dx. This just means ‘differentiate y with respect...
JD
Answered by Jack D. • Maths tutor
1799 Views

Write x^2 - 6x +7 in the form (x+a)^2 +b

Follow standard procedure that can be taught on a whiteboard. In general:ax^2 + bx + c = (x+b/2)^2 - (b/2)^2 + csox^2 - 6x + 7 = (x-3)^2 - (9) + 7= (x-3)^2 - 2
JC
Answered by James C. • Maths tutor
5372 Views

Define an obtuse angle.

An angle between 90 degrees and 180 degrees. NB- a reflex angle is an angle between 180 degrees and 360 degrees.
RM
Answered by Roshini M. • Maths tutor
3595 Views

Sketch the curve with the equation y=x^2 +4x+4, labelling the points where it crosses or touches the axes.

The curve is a quadratic equation because it has a x^2 - as it is positive it will be a u shaped parabola. The equation can be factorised by thinking of two numbers which add to make 4 (the b value) and mult...
SS
Answered by Sophia S. • Maths tutor
4373 Views