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

5759 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

What is the Pythagoras Theorem?


John has £385 he wants to give to Charlie, Ben and Sarah. He gives them the money in the ratio 1:2:4 respectively. How much money does each person get?


Make F the subject of the formula: C= 5(F-32) / 9


How do we use ratios to figure out how much money to give to people of a lump sum?


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