How do you use the quadratic formula to solve -2.8x=-3.8x^2+1.4−2.8x=−3.8x2+1.4?

1 Answer
Richard G.
Mar 17, 2017

x=1.0785,-0.3416x=1.0785,−0.3416

Explanation:

Re-arrange the formula
3.8x^2-2.8x-1.4=03.8x2−2.8x−1.4=0

This is the ax^2+bx+c=0ax2+bx+c=0 format,
so a=3.8, b=-2.8, and c=-1.4a=3.8,b=−2.8,andc=−1.4

The quadratic equation is (-b+-sqrt(b^2-4ac))/(2a)−b±√b2−4ac2a

Plug in the data:(-(-2.8)+-sqrt((-2.8)^2-4*(3.8)*(-1.4)))/(2(3.8))−(−2.8)±√(−2.8)2−4⋅(3.8)⋅(−1.4)2(3.8)

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