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Ataur R. for tutoring lessons in Seattle WA Over 20 tutoring hours WyzAnt Tutoring Tutor Tutor United States

Ataur R.

Experienced in helping students succeed in math and accounting.

Seattle, WA (98177)

Travel Radius 15 miles
Hourly Fee $30.00
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  11 ratings

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Ataur's Responses in WyzAnt Answers

need help solving pythagorean quadratic...

x^2+(2x+6)^2=(2x+4)^2

+ more- less
Asked by Eric from Brooklyn, NY
00

Ataur's Answer:

so since you have (2x+4)^2 and (2x+6)^2. Your first job is to take this solve and uncoil these two expressions first.

(2x+4)^2 can be solved using the squared for formula. 

(a+b)^2 = (a^2 + 2*a*b + b^2) = (a+b) * (a+b) 

Therefore (2x+4)^2 = (2x)^2 + 2*2x*4 + (4)^2

                              = 4x^2 + 16x + 16

and Therefore (2x+6)^2 = (2x)^2 + 2*2x*6 + (6)^2

                                   = 4x^2 + 24x + 36

Now that those polynomials are taken cared we have to put all together in the solution:

x^2 + 4x^2 + 24x + 36 = 4x^2 + 16x + 16. 

Its better to put everything to one side and make it equal to zero.

so, x^2 + 4x^2 + 24x + 36 - (4x^2 +16x +16) = 4x^2 + 16x + 16 - ( 4x^2 + 16x + 16)

    x^2 + 4x^2 + 24x + 36 - 4x^2 -16x -16 = 0

group the x^2 with each other and add them and do the same for the x's and the numbers.

so, x^2 + 4X^2 - 4x^2 + 24x - 16x + 36 -16 = 0

then you have, x^2 + 8x + 20 = 0 

Now solve this equation using factorization or the quadratic equation.

reply to this comment if you need further help. 

 

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