Question

What number is represented by −3x²+√2x+1/2 when x=√2?

Answer 1

Answer:

at x = $\sqrt{2}$,  $-3x^{2} + \sqrt{2}x + \frac{1}{2}$ = -3.5

Step-by-step explanation:

The given equation is $-3x^{2} + \sqrt{2}x + \frac{1}{2}$

Now, substitute the value of x = $\sqrt{2}$ in the above equation.

The given equation simplifies to,

$-3(\sqrt{2})^{2} + (\sqrt{2})(\sqrt{2}) + \frac{1}{2}$

now, $\sqrt{2} . \sqrt{2} = 2, \textrm{and} (\sqrt{2} )^{2} = 2$

So, the equation become

-3(2) + 2 + (1/2) = $-6 + 2 + \frac{1}{2} = -4 + \frac{1}{2} = \frac{-8 + 1}{2} = \frac{-7}{2}$  

= -3.5

So, at x = $\sqrt{2}$,  $-3x^{2} + \sqrt{2}x + \frac{1}{2}$ = -3.5