0
It often helps to square both sides of the equation (or raise to some other power, such as to the power 3, if it's a cubic root).Please note that doing this may introduce additional solutions, which are not part of the original equation. When you square an equation (or raise it to some other power), you need to check whether any solutions you eventually get are also solutions of the original equation.
Still curious? Ask our experts.
Chat with our AI personalities
Beau
Maxine
Coach
Add your answer:
Earn +20 pts
In general when solving a radical equation should you first isolate the radical and then both sides?
It often helps to isolate the radical, and then square both sides. Beware of extraneous solutions - the new equation may have solutions that are not part of the solutions of the original equation, so you definitely need to check any purported solutions with the original equation.
What is q equals 4m plus 4z solving for M?
To solve for this, you need to isolate "m." To accomplish this, subtract 4m from both sides of the equation. This should change the equation to q - 4z = 4m. Then you divide both sides by 4, getting q/4 - 4z/4 = m. After completing the division, you should get 1/4q - z = m.
Solving fraction equations by multiplying?
Example: 2x/7 = 12 First, multiply the reciprocal of 2/7, which is 7/2, to both sides of the equation to isolate x. You should now have: x = 12 x 7/2 --> x= 6 x 7 --> x = 42 *simplify 12 x 7/2 by cancelling two from 12 and 2. I'm not sure if this is what you're asking for, but hopefully it helps.
What is standard radical form in algebra?
The rules for "standard radical form" are that (a) there should be no perfect square within the radical sign; for example, square root of 12 is equal to square root of 4 x square root of 3 = 2 x square root of 3, and should be written as the latter; and (b) there should be no radical sign in the denominator. For example, if you have 1 / square root of 2, you multiply top and bottom by the square root of 2, to get a square root in the numerator, but none in the denominator.
How do you improve solving word problem skills of the students?
Practice - and problem solving ! If you explain clearly how the problem should be solved - and give them enough examples - they should absorb the teachings, and apply them to a new problem !
