How do you solve # sqrt(-10x - 4) = 2x#?
This has no answer. At first glance:
- Square it (including every sign outside the square root).
- Bring everything else to the other side with the 2nd degree term.
Divide by 2.
As-written, there are no solutions. Math at its core is pure logic that is supposed to always be true if done correctly, not just sometimes . There has to be a typo on the sign on the left, or it's a trick question. It should be:
if there is to be an answer. This is a result of isolating one result of a square root. It has to be a
This equation has no solutions.
Though there could be a typo and it could be:
We can square both sides to get
This gives us a quadratic equation:
Dividing both sides by 2, we get:
We use the Splitting the Middle Term technique to factorise the expression on the left
This tells us that
x can take either of these values and both will satisfy the equation