Welcome to Westonci.ca, your go-to destination for finding answers to all your questions. Join our expert community today! Join our platform to get reliable answers to your questions from a knowledgeable community of experts. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.
Sagot :
for the first equation don't let the cube trip you up. simply factor out 5x because 5 goes into all three numbers evenly as does the x. so now your equation reads 5x(x²+6x+9)=0. now factor x²+6x+9 like you normally would. now you should have 3 possible roots. 5x=0, x+3=0, and x+3=0. once you solve for x you should have x=0 and x=-3.
for the second one its a little trickier. we cant factor out the way we did in number one so you try to get all the x's to one side. ⇒ x^4-4x²=-3. now you can factor x² out to get x²(x²-4)=-3. now solve for x!! x²=-3 and x²-4=-3. you get x=√-3, x=1 and x=-1
for the last one your going to solve the original version of the problem (2x-5=11) and the negated version of the problem. (-2x+5=11) all you're doing is solving for x. you should get x=-3 and x=8
for the second one its a little trickier. we cant factor out the way we did in number one so you try to get all the x's to one side. ⇒ x^4-4x²=-3. now you can factor x² out to get x²(x²-4)=-3. now solve for x!! x²=-3 and x²-4=-3. you get x=√-3, x=1 and x=-1
for the last one your going to solve the original version of the problem (2x-5=11) and the negated version of the problem. (-2x+5=11) all you're doing is solving for x. you should get x=-3 and x=8
[tex]5x^3+30x^2+45x=0 \\
x^3+6x^2+9x=0\\
x(x^2+6x+9)=0\\
x(x+3)^2=0\\
x=0 \vee x=-3\\\\
x^4-4x^2+3=0\\
x^4-x^2-3x^2+3=0\\
x^2(x^2-1)-3(x^2-1)=0\\
(x^2-3)(x^2-1)=0\\
(x^2-3)(x-1)(x+1)=0\\
x=-\sqrt3 \vee x=\sqrt 3 \vee x=1 \vee x=-1[/tex]
[tex]|2x-5|=11\\ 2x-5=11 \vee 2x-5=-11\ 2x=16 \vee 2x=-6\\ x=8 \vee x=-3[/tex]
[tex]|2x-5|=11\\ 2x-5=11 \vee 2x-5=-11\ 2x=16 \vee 2x=-6\\ x=8 \vee x=-3[/tex]
We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.