Question

find the number of zeros of x square + 4 x + 2​

Answer 1

The zeroes are -2 + √2 and -2 - √2

Step-by-step explanation:

Given Expression:

x^2+4x+2x

2

+4x+2

We have to find zeroes of the given expression.

For this we put given expression equal to 0

So,

x^2+4x+2=0x

2

+4x+2=0

Now to find zero we solve the quadratic equation using quadratic formula,

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}x=

2a

−b±

b

2

−4ac

x=\frac{-4\pm\sqrt{4^2-4\times1\times2}}{2\times1}x=

2×1

−4±

4

2

−4×1×2

x=\frac{-4\pm\sqrt{16-8}}{2}x=

2

−4±

16−8

x=\frac{-4\pm2\sqrt{2}}{2}x=

2

−4±2

2

x=-2\pm\sqrt{2}x=−2±

2

Therefore, The zeroes are -2 + √2 and -2 - √2