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3X squared plus 2X equals -4 number of solutions

1 Answer

7 votes

Answer:

The given equation has two solutions i.e
(-1+√(13) )/(3) ,
(-1-√(13) )/(3)

Explanation:

The given expression as :

3 x² + 2 x - 4

For the quadratic equation in the form of a x² + b x + c , the value of x

x =
\frac{-b\pm \sqrt{b^(2)-4* a* c}}{2* a}

Or, x =
\frac{-2\pm \sqrt{2^(2)-4* 3* (-4)}}{2* 3}

Or, x =
(-2\pm √(4 + 48))/(6)

or, x =
(-2\pm √(52))/(6)

∴ x =
(-1\pm √(13))/(3)

Or, x =
(-1+√(13) )/(3) ,
(-1-√(13) )/(3)

Hence The given equation has two solutions i.e
(-1+√(13) )/(3) ,
(-1-√(13) )/(3) Answer

User Dany Khalife
by
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