By plotting appropriate graphs, find x to the nearest integer if x^2+3=2-4x.

Plot the graphs y=x^2+3 and y=2-4x. The solution(s) are the point(s) of intersection. The graphs can be plotted by making a table of values; this is the best method for the quadratic curve. The straight line may be more quickly plotted by recognising the coefficient of x gives the gradient and the intercept is 2, though finding and plotting appropriate values would also be successful. When plotting these graphs it is important to choose an appropriate scale; you must recognise that a quadratic equation of this type may have multiple solutions so allow for a wide range of values, but also be able to find the answers to the nearest integer (whole number).

Answered by Samuel H. Maths tutor

2639 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Convert 0.1727272... to a fraction in its lowest terms.


The area of a rectangle is 8cm^2. It has a length of (3x+1)cm and a width of (2x+5)cm. Work out the value of x.


Describe and explain the change in the shape of the graph y=x^2 and y=x^2 + 2.


From June 2015 Edexcel paper: Solve 7x + 8 = 2x – 3


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 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences