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Problem: what is the answer to 4y=12y squared
I dn't know to work this problem

4y = 12y^2
12y^2 = 4y
12y^2 - 4y = 0
12y^2 - 4y + 0 = 0    included + 0 to show c in the quadratic formula

      -b ± √(b² - 4*a*c)
y = --------------------
              2a

      -(-4) ± √((-4)² - 4*12*0)
y = -------------------------------
                2(12)

      4 ± √(16² - 0)
y = -----------------
            24

        4 ± √(16²)
y = -----------------
            24

       4 ± 4
y = ---------
         24

       4 + 4                        4 - 4
y = ---------     and   y = ---------
         24                           24

         8                             0
y = ---------     and   y = ---------
        24                           24

y = 1/3           and   y = 0

Check both values.

4y = 12y^2
4(1/3) = 12(1/3)^2
4/3 = 12(1/9)
4/3 = 4(1/3)
4/3 = 4/3

4y = 12y^2
4(0) = 12(0)^2
0 = 12(0)
0 = 0

Answer: y = 1/3,  y = 0

 

by Level 11 User (78.4k points)

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