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How do I solve a quadratic equation: x^2-5x+6=0

When solving a quadratic equation, you have two options. Take the general form ax^2+bx+c=0Method 1: Solution by FactorisingWhen the numbers involved look fairly simple, look for a way to factorise the quadra...
NC
Answered by Naomi C. • Maths tutor
4833 Views

Expand and Simplify: (x+2)(x+3)(x−3)

(x+2)(x+3)(x−3)(x 2 + 3x + 2x + 6)(x - 3) : Step 1 is to expand the first two brackets. (x 2 + 5x + 6)(x - 3) : Step two is to simplify the quadratic. x 3 -3x 2 +5x 2 -15x+6x-18 : Then expand the quadratic w...
AH
Answered by Alex H. • Maths tutor
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Let n be an integer greater than 1. Prove that n^2 - 2 - (n-2)^2 is an even number.

To show a number N is even, we must be able to express it in the form N = 2x for some other whole number x. Let's try to manipulate the given expression to see if we can put it in this form. By expanding the...
SL
Answered by Sam L. • Maths tutor
18541 Views

The equation of line A is y = 6x -4. The equation of line B is 2y - 12x + 14 = 0. Are these two lines parallel?

Line A has a gradient of 6, because it is in the form y = mx + c, where m=6. Line B can be rearranged to y= 6x - 7, so the gradient is also 6. The gradient of both lines is the same, so they are parallel.
ML
Answered by Matthew L. • Maths tutor
3869 Views

Find, using calculus, the x coordinate of the turning point of the curve with equation y=e^3x cos 4

1st step: find the derivative dy/dx of the given equation2nd step: now equate the obtained derivative to 0 because this is precisely the situation in which the graph changes direction (the derivative dy/dx e...
UW
Answered by Urszula W. • Maths tutor
4686 Views