Non linear eqs

Solve the system of non-linear equations:

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

Correct result:

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

Solution:

3x2−3x−y=−2 −6x2−x−y=−7  y=−6x2−x+7  3x2−3x−(−6x2−x+7)=−2  3x2−3x−(−6x2−x+7)=−2 9x2−2x−5=0  a=9;b=−2;c=−5 D=b2−4ac=22−4⋅9⋅(−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(x−0.864703331458)(x+0.642481109236)=0  x1=0.8647

Our quadratic equation calculator calculates it.

y1=−6⋅ x12−x1+7=−6⋅ 0.86472−0.8647+7=1.649
x2=(−0.6425)=−0.6425
y2=−6⋅ x22−x2+7=−6⋅ (−0.6425)2−(−0.6425)+7=5.1658

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