1.

3*x^2 - 32*x %2B 12=0

Answer»

According to the Quadratic Formula, x, the solution for Ax^2+Bx+C = 0, where A, B and C are numbers, often called coefficients, is given by : - B ± √B^2-4AC x = ———————— 2A

In our case, A = 3 B = -32 C = 12

Accordingly, B^2 - 4AC = 1024 - 144 = 880

Applying the quadratic formula :

32 ± √880 x = —————— 6

Two real solutions:

x = (32+√880)/6 = (16+2√55 )/3 = 10.277

or:

x = (32-√880)/6 = (16-2√55 )/3 = 0.389



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