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Solve the simultaneous equations: y-2x-4=0, 4x^2+y^2+20x=0

Re-arrange y-2x-4=0 to y=2x+4Substitute y=2x+4 into 4x^2+y^2+20x=0 to get 4x^2+(2x+4)^2+20x=0Expand the brackets to get 4x^2+(4x^2+16x+16)+20x=0Simplify to get 8x^2+36x+16=0Divide by 4 to get 2x^2+9x+4=0F...

AH
Answered by Andrew H. Maths tutor
6972 Views

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
3020 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 resp...

JD
Answered by Jack D. Maths tutor
1255 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
4455 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
2929 Views

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