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If x^2-5x+6=0, solve for x.

Since x^2-5x+6=0 is a quadratic we need to factorize before solvingAll quadratics fall under this formula ax^2+bx+c=0 so in this case a=1, b=-5 and c=6Drawing the very common ac b table we get: ac|b ...

ME
Answered by Matthew E. Maths tutor
3268 Views

The straight line joining the points (1, -2a),(a, 1) has a gradient of 5, find the value of a

m=y-y1/x-x15=1-(-2a)/a-15=1+2a/a-15(a-1)=1+2a5a-5=1+2a3a=6a=2

TB
Answered by Theo B. Maths tutor
3728 Views

Differentiate y=x^2 from first principles

y=x2dy/dx= Limh-->0( ((x+h)2-x2) / (x+h-x) )dy/dx= Limh-->0( (x2 + 2hx + h2 - x2) / h )dy/dx= Limh-->0...

DC
Answered by Dipayan C. Maths tutor
5670 Views

How to find the turning point on a curve?

The equation of the curve will be a quadratic i.e. it follows the form y=ax2+bx+cTo find the turning point, the quadratic will need to be solved using the completing the square method. This me...

MV
Answered by Muhammad V. Maths tutor
4373 Views

Solve 4log₂(2)+log₂(x)=3

First, we should look at the laws of logarithms.logax+logay=logaxylogax-logay=loga(x/y)klogax=logaxkWe ca...

Answered by Maths tutor
3426 Views

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