Question

X²-3=0 find the sum and product of the quadratic equation​

Answer 1

Hey There

Here's The Answer

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• Firstly we'll write given equation in standard quadratic equation ( ax² + bx + c = 0 )

=> x² - 0x - 3 = 0

• a = 1
• b = 0
• c = - 3

• Sum of the roots = - b/a

=> - ( -0 )/1 = 0

• Product of the roots = c/a

=> -3/1 = - 3

Hope It Helps.

Answer 2

Given :

• X²-3=0

To find :

• sum and product of the roots of given quadratic equation.

Solution :

If m and n are roots of quadratic equation :- ax²+bx+c=0 then :-

$\sf sum \: of \: roots \: (m + n )= - \dfrac{b}{a} \\ \\ \sf Product \: of \: roots \: (m \times n) = \dfrac{c}{a}$

So we have :- X²-3=0 or X²+0x -3=0

Now , here :-

• a = 1
• b= 0
• c = -3

So , sum of roots :-

$\sf \implies - \frac{0}{1}$

$\sf \implies {0}$

Therefore sum of roots = 0

Product of roots :-

$\sf \implies \dfrac{ - 3}{1}$

$\sf \implies{ - 3}$

Answer :

• sum of the roots of given quadratic equation = 0
• product = -3