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Subjects>Math>Other Math

What is a x squared plus b x plus c equals 0?

Zuga ∙

Lvl 1

∙ 12y ago

Updated: 4/28/2022

x = (-b (+/-) root( b2 - 4ac)) / 2a

Sorry about the messy answer, there are no square root symbols or plus-minus symbols.

Here is the proof -

ax2 + bx + c = 0 --------> multiply by 4a

4a2x2 + 4abx + 4ac = 0

4a2x2 + 4abx = -4ac ----------> add b2 to both sides

4a2x2 + 4abx + b2 = b2 - 4ac -----------> factorise LHS

(2ax + b)2 = b2 - 4ac

2ax + b = (+/-) root( b2 - 4ac)

2ax = -b (+/-) root( b2 - 4ac)

x = (-b (+/-) root( b2 - 4ac)) / 2a

Maths works people.

Wiki User

∙ 12y ago

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