# `ax^2+bx+c=0`
what are the roots of this quadratic equation?
OR
Solve the quadratic equation `ax2 + bx+c=0`.
#Solution:
`ax2 + bx+c=0`
=>`x2+b/a x+c/a=0`
=>`(x)2+2(x)( b/2a) +( b/2a)2 + c/a - ( b/2a)2 =0`
=>`(x+ b/2a)2 = - c/a + ( b/2a)2`
=>`(x+ b/2a)2 = - c/a + b^2/(4a^2 )`
=>`(x+ b/2a)2 = (b^2-4ac)/(4a^2 )`
=>`x+ b/2a = ±√((b^2-4ac)/(4a^2 ))`
=>`x = - b/2a ±√(b^2-4ac)/2a `
=>`x = (-b±√(b^2-4ac))/2a`
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