Thread: How to solve for x?

1. How to solve for x?

How would you solve for x? For some reason I just can't figure them out... I greatly appreciate anyone who could help me

#1) y= √x
y = x^2

#2) y=e^-x
y=e^x

#3) y=4-x^2
y=1-x^2

#4)
y=e^x
y=ex

#5) y=x^3-3x+1
x+y

2. Originally Posted by loutja35
How would you solve for x? For some reason I just can't figure them out... I greatly appreciate anyone who could help me

#1) y= √x
y = x^2

#2) y=e^-x
y=e^x

#3) y=4-x^2
y=1-x^2

#4)
y=e^x
y=ex

#5) y=x^3-3x+1
x+y
Hi

(1) $\displaystyle y^2=x$ ---1 (square both sides)

$\displaystyle y=x^2$---2

sub 2 into 1

$\displaystyle (x^2)^2=x$

$\displaystyle x^4=x$

$\displaystyle x^4-x=0$ .... continue here

(2) $\displaystyle y^x=e$ --1

$\displaystyle y=e^x$ ---2

sub 2 into 1

$\displaystyle (e^x)^x=e$

$\displaystyle e^{2x}=e$

continue here

Can you try the rest ?

3. Although you said continue here and I can see your process....I don't know how to continue forward. It looks to me like x isn't being solved for. I don't understand what I am doing wrong. Please help...thank you to anyone who can

4. 1) Factor. Apply the difference-of-cubes formula to x^3 - 1. Solve the two linear factors.

2) To learn how to solve exponential equations, try here.