Solve the quadratic: 3x^2+4x = 20 to find x.

Quadratic formula: where ax^2+bx+c =0, x = (-b±√(b^2-4ac))/2a.Rearrange the formula in the question to get 3x^2+4x-20 = 0.From the quadratic in the question we can see that a = 3, b = 4, c = -20.Therefore x = (-4±√(4^2 - (43-20)))/(2*3)= (-4±√(16 - -240))/6 = (-4±√256)/6= (-4±16)/6= -20/6 AND 12/6= -10/3 AND 2Therefore x = -3.3r AND 2.

SF
Answered by Samuel F. Maths tutor

5497 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Make x the subject of 5(x-3) = y(4-3x)


The width of a Rectangle is 4cm shorter than its length. the rectangle has an area of 32cm2. Calculate its perimeter?


Expand and simplify the following equation 5a(4b - 3) - 2a(6 + b)


How do you solve the equation 3(6x + 2) = 10 + 4x?


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:

© 2025 by IXL Learning