Help in algebra (urgent) (please teach me how to do this stuff)

[treannt]

Can someone please teach me how to do this?

Sent from my iPhone using Tapatalk

 

[ksdhart2]

For 7a, my first step would be to square both sides.

\(\displaystyle p=\dfrac{\sqrt{1-x}}{y} \implies p^2=\dfrac{1-x}{y}\)

What do you think the next step should be? Once you get an answer of x = (something), 7b is a simple matter of "plug-n-chug."

For 8, I'd start by using the first equation to solve for b^2.

\(\displaystyle a^2+b^2=548 \implies b^2=\text{???}\)

Then use the second equation for solve for a, and back substitute into the first.

\(\displaystyle 2ab=352 \implies a=\text{???}\)

Try continuing from there and see what you get. If you get stuck again, that's okay, but when you reply back, please include a list of all your workings, even if you know they're wrong. Thank you.

 

[Harry_the_cat]

Can someone please teach me how to do this?

Sent from my iPhone using Tapatalk

What is the little symbol in front of the radical sign. Is it a little 3 (meaning cube root)?
(I ask this because otherwise there is no solution to part (b).)

 

[stapel]

Can someone please teach me how to do this?

Yes, but not here. We can help students work through specific exercises, but that assistance requires that the student have at least a basic understanding of the underlying material, something you indicate is not present. So what you need are lessons, so you can start gaining that missing background knowledge.

Your graphic is of poor quality. I think the first exercise is as follows:

. . . . .\(\displaystyle \mbox{7 (a) Given that }\, \sqrt[3]{\strut \dfrac{1\, -\, x}{y}\,}\, =\, p,\, \mbox{ express }\, x\, \mbox{ in terms of }\, p\, \mbox{ and }\, y.\)

If so, then you need to learn about solving literal equations, which in this case also involves solving radical and rational equations. To get started, here are lists of lessons available online:

. . . . .Google results for "solving radical equations"
. . . . .Google results for "solving rational equations"
. . . . .Google results for "solving literal equations"

I think the second exercise, much simpler than the first, is as follows:

. . . . .\(\displaystyle \mbox{7 (b) Hence, find the value of }\, x\, \mbox{ when }\, p\, =\, -1\, \mbox{ and }\, y\, =\, 6.\)

Since this part can be done without part (a), but you're unable to get started, I'll guess that you need to start with variables, the order of operations, and evaluation; and probably need to learn about solving linear and quadratic equations, too:

. . . . .Google results for "variables"
. . . . .Google results for "order of operations"
. . . . .Google results for "evaluating expressions"
. . . . .Google results for "solving linear equations"
. . . . .Google results for "solving quadratic equations"

(You probably only need the first three lists to learn enough to answer this part of the timed test.)

I think the final exercise in the image is as follows:

. . . . .\(\displaystyle \mbox{8 It is given that }\, a^2\, +\, b^2\, =\, 548\, \mbox{ and }\, 2ab\, =\, 352\, \mbox{ and }\, a\, >\, b.\, \)

. . . . .\(\displaystyle \mbox{ Find the value of }\, a^2\, -\, b^2,\, \mbox{ where }\, a\, \mbox{ and }\, b\, \mbox{ are positive integers.}\)

This exercise requires that you be fairly familiar with quadratics and how to factor them, along with a couple special-factoring formulas. So you'll need these:

. . . . .Google results for "simple factoring"
. . . . .Google results for "factoring quadratics"
. . . . .Google results for "special factoring"

In particular, you'll want to consider "perfect square binomials" formula and the "difference of squares" info.

Note: It is entirely possible that, since your class hasn't covered the semester or two of information you need in order to even get started on these, you may not be able to figure things out by attempting online self-study (though you'll quickly understand why, even were you to get complete worked solutions here, you'd still be completely lost!). You may want to think about hiring a qualified local tutor and setting aside an hour or two a day for concentrated private instruction.

Good luck!