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Use the quadratic formula to solve 3x^2 +17-6=0

1 Answer

4 votes

Theory

Given quadratic equation in standard form:


ax^2+bx+c=0.

Its zeros (roots) are solutions that can be computed using quadratic formula:


</p><p>x_1=(-b^2+√(b^2-4ac))/(2a) \\</p><p>x_2=(-b^2-√(b^2-4ac))/(2a) </p><p>.

End Theory

Answer

We have quadratic equation:


3x^2+17-6=0.

Which can be simplified and rewritten to:


3x^2+0x+11=0.

From this we can extrapolate the coefficients:


a=3,b=0,c=11.

Insert the coefficients in the quadratic formulas and get calculate the roots (zeros/solutions):


x_1=(-0^2+√(0^2-4(3)(11)))/(2\cdot3)\approx0+1.91i.


x_2=(-0^2-√(0^2-4(3)(11)))/(2\cdot3)\approx0-0.91i.

So the solutions are two complex numbers.

End Answer

Hope this helps.

User Zartch
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