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

5355 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Solve x^2 - 3x - 10 = 0 for x by a) factorising and b) the quadratic equation. Then draw a graph of the function, marking when it touches each of the axes.


Quadratic equation


Solve the equation x^2-9x+20


Find x and y when 3x + 4y = 27 and x + 2y = 11


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