Search over 10,000 free study notes

The quadratic formula is used to solve the quadratic equation. Although methods like factorising or completing the square can easily be used, this offers another method which can be used for more difficul...

Parallel lines have the same gradient (same 'm' value in y=mx+c). Therefore m=3 for both equations; if they are parallel lines. The second equation needs to be rearranged for y to determine this. 3y-9x+5 ...

Notice the denominator can be factorised as the difference of two squares. The fraction can then be simplified by cancellation. The resulting fraction(s) can then be solved using the list of integrals in ...

7(x + 2)

7x+y=1 (1)  ->   y= 2x² - 3 (3)

7x + 2x² -3-1=0 -> (2x-1)(x+4)=0 so 2x-1=0 so 2x=1 so x=0.5 and x+4=0 so x=-4

7(0.5)+y=1 so y=1-3.5 so y=-2.5 and 7(-4) +y=1 so -2...