Maths Y10

• Formula for quadratic equation is $(-b±√(b²-4ac))/$$(2a)$
• The discriminant formula, which determines how many solutions there are is $b²-4ac$

  
• The vertex is the point of symmetry of line. The equation is $-b/2a$ to find out just the x co-ordinate. To find out the y co-ordinate, you need to substitute the x into the equation.

  
• When doing graphs that involve non-linear lines, always refer to$ax^2+$$bx+$$c=$$0$
• If there are 2 variables, to make them the same base, you can multiply once diagonally and once horizontally for the denominator. You cross multiply an equation to make them have the same base only when there is 1 variable on each side of the equation.

  
• When solving $x^2-36x+$$180=$$0$ , the answer is $x=$$30, 6$.
• The standardised ratio for right-angled △ is 3:4:5. This is how to know if a number will be an integer in Pythagoras.