Solve x^2 -6x +5 = 0 and plot this graph between -10<x>10

To solve the equation you need to factorise the quadratic. This means you need to find 2 numbers that when multiplied make 5 and when added together make -6. These would be -1 and -5. You can now separate -6x into -x-5x.

x2-x-5x+5=0. Now you need to factorise (x2-x) and (-5x+5) separately. This gives x(x-1) and -5(x-1)

x(x-1)-5(x-1)=0. you can now factorise the matching brackets (x-1) to give: (x-1)(x-5)=0. to solve for x you need to make each bracket =0 individually and find x.

So, x-1=0 ... x=1
x-5=0 ... x=5

So the answer is x=5 and x=1

To plot the graph, replace 0 with y to get y=x2-6x+5. Choose values for x between -10 and 10 increasing in 2 each time and use the equation to find the value of y for each x. Plot these coordinates on a graph and join up the dots to give you a quadratic.

Answered by Henry H. Maths tutor

2600 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

A is the point (2,-5), B is the point (-1,4). (a) What is the gradient of the line passing through points A and B? (b) Does the point (-100,301) lie on the line passing through points A and B?


Solve the inequality x^2+2x-8<0


What is a box-plot diagram?


There are 12 counters in a bag. There is an equal number of red counters, yellow counters and blue counters in the bag. There are no other counters in the bag. 3 counters are taken from the bag. Work out the probability of taking 3 red counters.


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2024

Terms & Conditions|Privacy Policy
Cookie Preferences