Question

3x²-4x=10x-16
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Answer 1

3x²-4x=10x-16
3x²-4x-10x+16=0
3x²-14x+16=0
a:3 b:-14 c:16

x=-b+-√ b²-4ac/2a
x=-(-14)+-√ -14²-4.3.16/2.3
x=14+-√ 196-192/6
x=14+-√ 4/6
x=14+-2/6

x'=14+2/6
x'=16/6
x'=8/3

x''=14-2/6
x''=12/6
x''=2

Answer 2

$3x^2-4x=10x-16 \\ 3x^2 - 4x - 10x + 16 = 0 \\ 3x^2 - 14x + 16 = 0 \\ a = 3, b = -14, c = 16 \\ \\ \Delta = b^2 - 4ac \\ \Delta = (-14)^2 - 4 \times 3 \times 16 \\ \Delta = 196 - 192 \\ \Delta = 4 \\ \\ x = \frac{-b \pm \sqrt{\Delta} }{2a} \\ x = \frac{-(-14) \pm \sqrt{4} }{2 \times 3} \\ x = \frac{14 \pm 2}{6} \\ \\ x_1 = \frac{14 + 2}{6} = \frac{16}{6} = \frac{8}{3} = 2,666... \\ x_2 = \frac{14 - 2}{6} = \frac{12}{6} = 2$

x = 8/3, x = 2