Question

*x^2 + x - 20 = 0 या वर्गसमीकरणाची मुळे काढा.* 1️⃣ ( 4, 5 ) 2️⃣ ( 4, - 5 ) 3️⃣ ( - 4, 5 ) 4️⃣ ( - 4, - 5 )​

Answer 1

hence the option c is the correct answer of this question

Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

The zeroes of the quadratic equation x² + x - 20 = 0 are

1. ( 4, 5 )

2. ( 4, - 5 )

3. ( - 4, 5 )

4. ( - 4, - 5 )

EVALUATION

Here the given Quadratic equation is

x² + x - 20 = 0

We find the roots as below

$\sf{ {x}^{2} + x - 20 = 0}$

$\sf{ \implies \: {x}^{2} + (5 - 4)x - 20 = 0}$

$\sf{ \implies \: {x}^{2} + 5x - 4x - 20 = 0}$

$\sf{ \implies \: x(x + 5) - 4(x + 5) = 0}$

$\sf{ \implies \: (x + 5) (x - 4) = 0}$

Now x + 5 = 0 gives x = - 5

x - 4 = 0 gives x = 4

So the roots are 4 , - 5

FINAL ANSWER

Hence the correct option is 2. ( 4, - 5 )

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