Math, asked by pooja6896, 10 months ago

write the sum of the roots of the quadratic equation 3xsquare-5x+2=0

Answers

Answered by Striker10
3

Step-by-step explanation:

Sum = -b/a = -(-5)/3 = 5/3

Answered by pulakmath007
0

The sum of the roots of the quadratic equation 3x² - 5x + 2 = 0 is 5/3

Given :

The quadratic equation 3x² - 5x + 2 = 0

To find :

The sum of the roots of the quadratic equation 3x² - 5x + 2 = 0

Solution :

Step 1 of 4 :

Write down the given Quadratic equation

Here the given Quadratic equation is

3x² - 5x + 2 = 0

Step 2 of 4 :

Write down the coefficients

Comparing the given polynomial with general quadratic equation ax² + bx + c = 0 we get

a = 3 , b = - 5, c = 2

Step 3 of 4 :

Find the relation between coefficients and roots

Let roots of the quadratic equation are \displaystyle \sf{ \alpha ,  \beta }

Then we have

\displaystyle \sf{   \alpha +   \beta =  -  \frac{b}{a}   =  -  \frac{-5}{3}  =  \frac{5}{3} }

\displaystyle \sf{  \alpha  \beta   =  \frac{c}{a}   = \frac{2}{3} }

Step 4 of 4 :

Find sum of the roots of the quadratic equation

Hence sum of the roots of the quadratic equation

\displaystyle \sf{  =   \alpha +   \beta }

\displaystyle \sf{    =  -  \frac{b}{a} }

\displaystyle \sf{     = -  \frac{-5}{3} }

\displaystyle \sf{     = \frac{5}{3} }

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