Question

Find the sum of zeroesof the polynomial 2x2-8x+6

Answer 1

General equation

x2-(Sum of zeroes) x + Product of zeroes -(1)

The given equation is

2x2 - 8x + 6

Now dividing the given equation by 2 we get

x2 - 4x +3 -(2)

Since applying (1)in (2) we get

Sum of zeroes =4

Hope it helps you

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#BAL

Answer 2

Solution

now ....

2x²-8x+6=0

$\implies 2x {}^{2} - 8x + 6 = 0 \\ \implies \frac{2x {}^{2} }{2} - \frac{ \cancel8x}{ \cancel2} + \frac{\cancel6}{\cancel2} = \frac{0}{2} \\ \implies x {}^{2} - 4x + 3 = 0 \\ now \: compairing \: the \: above \: \\ equation \: with \: x {}^{2} - ( \alpha + \beta)x + \alpha \beta\: = 0 \\w here \: \alpha \: and \: \beta \: are \: the \: zeroes..... \\ so \:w e \: got \: after \: compairing \: \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed{\boxed{\boxed{\alpha + \beta = 4}}}$

Hope this helps you.....

#answerwithquality & #BAL