Solve x^2+10x-3=0 by completing the square, simplify your answer.

x2+10x-3=0(x+5)2-(5)2-3=0 (half the 'x' coefficient and put it in the bracket with x to be squared, then take away that new number squared followed by the original constant)(x+5)2-25-3=0 (square the number)(x+5)2-28=0 (simplify)(x+5)2=28 (add 28 to both sides)(x+5)=+/-sqrt(28) (square root both sides, it can be positive or negative)x=-5+/-sqrt(28) (take 5 away from both sides)Think about the factors of 28- 1, 28, 2, 14, 4, 7sqrt(4)=2, so sqrt(28) can be simplified to sqrt(47)=sqrt(4)sqrt(7)=2sqrt(7)So the final answer is x=-5+2sqrt(7) or x=-5-2*sqrt(7)

Answered by Tutor575114 D. Maths tutor

3037 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Express 56 as a product of prime factors in its simplest form


Find and simplify the point(s) of intersection of the curves: x^2 + y^2 =6 , y = x - 3


Three points have coordinates A(-8, 6), B(4, 2) and C(-1, 7). The line through C perpendicular to AB intersects AB at the point P. Find the equations of the line AB and CP.


Daniel bakes 420 cakes. He bakes only vanilla cakes, banana cakes, lemon cakes and chocolate cakes. 72 of the cakes are vanilla cakes. 35% of the cakes are banana cakes. The ratio of the number of lemon cakes to the number of chocolate cakes is 4:5 Work


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences