Home > Algebra > Comparing Methods for Solving Quadratics

How do you solve #2x^2 - 11 = 0 #?

Answer 1

Isaiah Anthony

#x=+-sqrt(11/2)#

#2x^2-11=0#

#rArr 2x^2= 11#

#rArr x^2 = 11/2#

#rArr x = +-sqrt(11/2)#

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Julia Adams

To solve the equation 2x^2 - 11 = 0, you can follow these steps:

Add 11 to both sides of the equation: 2x^2 = 11
Divide both sides by 2: x^2 = 11/2
Take the square root of both sides: x = ±√(11/2)
Simplify the square root: x = ±√(11/2) = ±√(11)/√(2) = ±√(11)/√(2) * √(2)/√(2) = ±√(22)/2

So, the solutions are x = √(22)/2 and x = -√(22)/2.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.