Question

Determine nature of roots of the quadratic equations.
$\boxed{\pink{\sf 2x^{2} - 5x + 7 = 0}}$ ​

Answer 1

Answer:

HELLO SENIOR! HERE IS YOUR ANSWER

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Compare 2x² - 5x + 7 = 0 with

ax² + bx + c = 0

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a = 2, b = -5 , c = 7 ,

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b² - 4 ac = (-5)² - 4 x 2 x 7

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D = 25 - 56

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D = -31

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b² - 4 ac < 0

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the roots of the equation are not real

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Answer 2

$\large{\green{\underline{\tt{Question}}}}$

Determine nature of roots of the quadratic equations.

$\boxed{\pink{\sf 2x^{2} - 5x + 7 = 0}}$

$\large{\green{\underline{\tt{ Given}}}}$

✪ a = 2

✪ b = -5

✪ c = 7

$\large{\green{\underline{\tt{Solution}}}}$

$\implies D = {b}^{2} - 4ac$

$\implies D = { -5 } ^ {2} - 4 ( 2)(7)$

$\implies D = 25 - 56$

$\implies D = -31$

As , D < 0

Hence , the given quadratic equation has no real roots .

$<marquee>$ ⭐THANK YOU SENIOR ⭐