Search over 10,000 free study notes
Over a million students use our free study notes to help them with their homework
Top answers
Where does the graph x^2-3x-4 cross the x axis?
First, you need to factorise the quadratic:x 2 -3x-4=0(x-4)(x+1)=0Then, set each of the brackets to equal 0 and solve for x:x-4=0 --> x = 4x+1=0 --> x=-1
SB
Answered by
Sarah B.
•
Maths tutor
2520 Views
How do you find the turning point of a quadratic equation?
We factorise the equation by completing the square.Take y=x 2 + ax + bWhen we complete the square we have y= (x+1/2a) 2 -a 2 +b which is y= (x+1/2a) 2 + c where c = -a 2 +bThe turning point would be at (-1/2...
WF
Answered by
Wiktoria F.
•
Maths tutor
41090 Views
How do I approach simultaneous equations with 2 unknowns?
The two common ways to approach them is either by substitution or addition/subtraction. Firstly, for substitution, rearrange one of your equation so that one of the unknowns becomes the subject and then subs...
LS
Answered by
Louis S.
•
Maths tutor
3039 Views
Solve the simultaneous equations 2x + 3y = 19 , 3x + y = 11
Rearrange to make the y component the subject3y = 19 - 2x , y = 11 - 3xMultiply the second equation by 33y = 33 - 9xEquate to each other19 - 2x = 33 - 9xRearrange7x = 14Divide by 7x = 2Substitute x=2 into on...
DB
Answered by
David B.
•
Maths tutor
4826 Views
Write x^2 + 4x + 18 in the form (x + a)^2 + b, where a and b are constants to be determined.
(x + 2)^2 + 14. a = 2, b = 14
DH
Answered by
Danqing H.
•
Maths tutor
4309 Views
←
92
93
94
95
96
→