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

5356 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

How to solve a quadratic equation?


How to factorise a quadratic with a coefficient of x^2 greater than one, for example 4x2+4x-15?


Integrate x^2 + 1/ x^3 +3x +2 using limits of 1 and 0


Solve the simultaneous equations y= 3x +4 and y= 2x + 5


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