Algebra 2
posted by Anonymous .
Complete the square and write in graphing form.
2x^2=5x+12

Algebra 2 
Bosnian
2 x ^ 2 = 5 x + 12
Subtract 5 x + 12 to both sides
2 x ^ 2  ( 5 x + 12 ) = 5 x + 12  ( 5 x + 12 )
2 x ^ 2  5 x  12 = 0 Divide both sides by leading coefficient ( 2 )
x ^ 2  5 x / 2  6 = 0 Add 6 to both sides
x ^ 2  5 x / 2  6 + 6 = 0 + 6
x ^ 2  5 x / 2 = 6
________________________________________
Take one half of the coefficient of x and square it.
In this case [ ( 5 / 2 ) / 2 ] ^ 2 = ( 5 / 4 ) ^ 2 = 25 / 16
________________________________________
Add 25 / 16 to both sides
x ^ 2  5 x / 2 + 25 / 16 = 6 + 25 / 16
________________________________________
Remark :
x ^ 2  5 x / 2 + 25 / 16 = ( x  5 / 4 ) ^ 2
6 = 96 / 16
________________________________________
( x  5 / 4 ) ^ 2 = 96 / 16 + 25 / 16
( x  5 / 4 ) ^ 2 = 121 / 16
x  5 / 4 = + OR  sqrt ( 121 / 16 )
x  5 / 4 = + OR  11 / 4 Add 5 / 4 to both sides
x  5 / 4 + 5 / 4 = + OR  11 / 4 + 5 / 4
x = + OR  11 / 4 + 5 / 4
x1 = 11 / 4 + 5 / 4 = 16 / 4 = 4
x2 =  11 / 4 + 5 / 4 =  6 / 4 =  3 / 2
For graph go on :
wolframalpha dot com
When page be open in rectangle type :
2 x ^ 2 = 5 x + 12
and click option =
Respond to this Question
Similar Questions

Algebra2 again
How do you: Complete the square as an aid in graphing. [I put exponents in ().] y = x(2) + 4x  2 Please Help? 
Advanced Algebra
I some problems that I need help with please. Add or subtact as indicated and write the results in standard form. 4. 6(5+7i)(72i) Divide and express the result in standard form. These problems I don't understand, do you have … 
Algebra
write in form y=a(xh)^2+k y=x^2x9 (x^22x)9 complete the square (x^2+2x+11)9 (x^2+2x+1)19 (x+1)^29 
Another algebra
Write the equations of four lines that intersect to form a square whose sides are not parallel to the axes. Where would I start, and how would I complete this? 
Algebra (urgent!)
Write the equations of four lines that intersect to form a square whose sides are not parallel to the axes. Where would I start, and how would I complete this? 
urgent math
complete the square to write each function in the form f(x)=a(xh)^2+k f(x)=2x^220x3 
Algebra
Complete the square to form a perfect square trinomial. X^2+4x+____ How do I do this? 
Algebra 2
Complete the square and write in graphing form. 2X^2=5x+12 
Algebra 2
Find the vertex of each of the following parabolas by averaging the x intercept. Then write each equation in graphing form. Y=(x3)(x11) 
Algebra 2
Find the vertex of each of the following parabolas by averaging the x intercepts. Then write each equation in graphing form. Y=x^214x+40