Question

2x2 + 10x - 5 = 0 या वर्गसमीकरणाच्या मुळांची बेरीज व
मुळांचा गुणाकार किती
असेल ?​

Answer 1

SOLUTION

TO DETERMINE

The sum of the roots and product of the roots of the quadratic equation 2x² + 10x - 5 = 0

CONCEPT TO BE IMPLEMENTED

If $\alpha \: \: and \: \: \beta \:$are the zeroes of the quadratic equation $\sf{ a {x}^{2} + bx + c= 0}$

Then

$\displaystyle \: \alpha + \beta \: = - \frac{b}{a} \: \: and \: \: \: \alpha \beta \: = \frac{c}{a}$

EVALUATION

Here the given Quadratic equation is

2x² + 10x - 5 = 0

Comparing with quadratic equation $\sf{ a {x}^{2} + bx + c= 0}$

We get

a = 2 , b = 10 , c = - 5

Hence

Sum of the roots

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

$\displaystyle \sf{ = - \frac{10}{2} }$

$\displaystyle \sf{ = - 5 }$

Product of the roots

$\displaystyle \sf{ = \frac{c}{a} }$

$\displaystyle \sf{ = - \frac{5}{2} }$

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Answer 2

Answer:

2x2 + 10x - 5 = 0 या वर्गसमीकरणाच्या मुळांची बेरीज व

मुळांचा गुणाकार किती

असेल ?