Non linear eqs

Solve the system of non-linear equations:

3x2-3x-y=-2
-6x2-x-y=-7

Correct answer:

x1 =  0.8647
y1 =  1.649
x2 =  -0.6425
y2 =  5.1658

Step-by-step explanation:

3x23xy=2 6x2xy=7  y=6x2x+7  3x23x(6x2x+7)=2  3x23x(6x2x+7)=2 9x22x5=0  a=9;b=2;c=5 D=b24ac=2249(5)=184 D>0  x1,2=b±D2a=2±18418=2±24618 x1,2=0.11111111±0.753592220347 x1=0.864703331458 x2=0.642481109236   Factored form of the equation:  9(x0.864703331458)(x+0.642481109236)=0  x1=0.8647=0.8647

Our quadratic equation calculator calculates it.

y1=6 x12x1+7=6 0.864720.8647+7=1.649
x2=(0.6425)=0.6425
y2=6 x22x2+7=6 (0.6425)2(0.6425)+7=5.1658



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