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Mathematics 10 Online
OpenStudy (anonymous):

Some Help Please

OpenStudy (anonymous):

jimthompson5910 (jim_thompson5910):

y is equal to 2x^2 + 54 and it's also equal to 18 - 22x

jimthompson5910 (jim_thompson5910):

therefore, we know that 2x^2 + 54 = 18 - 22x agreed?

OpenStudy (anonymous):

agree

jimthompson5910 (jim_thompson5910):

now get the equation into standard form ax^2 + bx + c = 0 2x^2 + 54 = 18 - 22x 2x^2 + 54+22x = 18 - 22x+22x ... add 22x to both sides 2x^2 + 22x + 54 = 18 2x^2 + 22x + 54 - 18 = 18 - 18 ... Subtract 18 from both sides. 2x^2 + 22x + 36 = 0

jimthompson5910 (jim_thompson5910):

from here you can factor or use the quadratic formula

OpenStudy (anonymous):

alright im doing that

jimthompson5910 (jim_thompson5910):

ok tell me what you get

OpenStudy (anonymous):

Simplifying 2x2 + -22x + 36 = 0 Reorder the terms: 36 + -22x + 2x2 = 0 Solving 36 + -22x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(18 + -11x + x2) = 0 Factor a trinomial. 2((2 + -1x)(9 + -1x)) = 0 Ignore the factor 2. Subproblem 1 Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2 Subproblem 2 Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9 Solution x = {2, 9}

jimthompson5910 (jim_thompson5910):

it's not 2x^2 + -22x + 36 = 0 it's 2x^2 + 22x + 36 = 0

OpenStudy (anonymous):

ooohhhh i see ok so if i've done my research correctly i shall get one moment

OpenStudy (anonymous):

need to change a few things

OpenStudy (anonymous):

Simplifying 2x2 + 22x + 36 = 0 Reorder the terms: 36 + 22x + 2x2 = 0 Solving 36 + 22x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(18 + 11x + x2) = 0 Factor a trinomial. 2((9 + x)(2 + x)) = 0 Ignore the factor 2. Subproblem 1 Set the factor '(9 + x)' equal to zero and attempt to solve: Simplifying 9 + x = 0 Solving 9 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x = 0 + -9 x = 0 + -9 Combine like terms: 0 + -9 = -9 x = -9 Simplifying x = -9 Subproblem 2 Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2 Solution x = {-9, -2}

jimthompson5910 (jim_thompson5910):

yes, x = -9 or x = -2

jimthompson5910 (jim_thompson5910):

if x = -9, then y = ???

OpenStudy (anonymous):

(-9,216)

jimthompson5910 (jim_thompson5910):

good

jimthompson5910 (jim_thompson5910):

and you do the same for x = -2

OpenStudy (anonymous):

so my answer would be A

jimthompson5910 (jim_thompson5910):

yes

OpenStudy (anonymous):

May you assist me with others @jim_thompson5910

jimthompson5910 (jim_thompson5910):

post a new question so things don't get cluttered

jimthompson5910 (jim_thompson5910):

where it says "ask a question"

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