SOLUTION: re-post questions
1. √x-1=3
2. √x^3=8
3. 3√x^2=4
4. Is an identity (true for all values of x)?
Answer and explain
Algebra.Com
Question 25018: re-post questions
1. √x-1=3
2. √x^3=8
3. 3√x^2=4
4. Is an identity (true for all values of x)?
Answer and explain
Answer by venugopalramana(3286) (Show Source): You can put this solution on YOUR website!
1. √x-1=3
√x=3+1=4..SQUARING BOTH SIDES
X=4*4=16
2. √x^3=8
√x=8^(1/3)=2...SQUARING BOTH SIDES
X=2*2=4
3. 3√x^2=4..ASSUMING YOU MEANT (3√x)^2=4
9X=16..OR X=16/9
...OR.....ASSUMING YOU MEANT 3(√x)^2=4
3X=4..OR...X=4/3
4. Is an identity (true for all values of x)?
YES IDENTICAL OR CONGRUENT MEANS TRUE FOR ALL VALUES OF X
FOR EXAMPLE
(X+A)^2=X^2+A^2+2*X*A...FOR ALL VALUES OF X AND A .THIS IS AN IDENTITY.YOU CAN TEST BY TAKING DIFFERENT VALUES FOR X AND A.SAY 1,2,3 ETC..
ON THE OTHER HAND X+3=4 AND X^2=4 ARE NOT IDENTITIES ...IT IS ONLY TRUE FOR A CERTAIN VALUE / OR SOME OR MANY VALUES VALUES OF X BUT NOT ALL VALUES OF X.HERE
X+3=4 IS TRUE ONLY FOR X=1
X^2=4 IS TRUE ONLY FOR X= +2 AND -2
SIMILARLY X+A=10 IS TRUE FOR MANY VALUES OF X BUT NOT FOR ALL VALUES OF X ...IF A=4 THEN X=6...IF A=2 THEN X=8 ETC...
RELATED QUESTIONS
What type of problems are these? Can you help me solve?
1 . √ x – 1 = 3
2 .... (answered by stanbon)
Is (√x)^2=x an identity (true for all values of x)? Please... (answered by wuwei96815,jcmtnez)
Is (√x^2)= x an identity (true for all nonnegative values of... (answered by scianci)
√x-3 = √x+2 -... (answered by ankor@dixie-net.com)
√(2x+1)+√(x-3)=2 (answered by stanbon,MathTherapy,ikleyn)
1. Is √x ^2 = x an identity (true for all values of x)?
Explain the answer
2. (answered by stanbon)
2√(x+4) =... (answered by Fombitz)
√(X-2)=... (answered by funmath)
2) Is √x^2 = x an identity (true for all values of x)?
Answer:
Explain... (answered by pradhyumna.kumar@gmail.com)