Given the function f(x) = 2x^(2) + 3, find the value of x when f(x) = 53.

  1. Substitute f(x) = 53 into the equation given:f(x) = 53 = 2x2 + 32).

    2. Rearrange to get x2 on the left hand side: x2 = (53-3)/2 = 253).

    3. Square root both sides.

    Remember, the answer can be positive or negative:x = +5 or -5
EB
Answered by Emily B. Maths tutor

5673 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

A straight line passes through the points (-2, 4) and (1, 10). What is (a) the gradient of the line, (b) the y-intercept of the line and (c) the equation of the line?


solve for x by completing the square x^2 + 4x - 12


Solve the equation 3a^2+4a+1=3 for all values of a. Give your answers to 3 significant figures.


Bob lives 2km away from Alice and the school is 1km away from Bob. Alice sets off to meet Bob at 8am and she meets him at 8:15 and they carry on walking at the same pace. School starts at 8:20. Do they get to school on time? How early/late are they?


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2026 by IXL Learning