Question

please answer this with step by step explanation I will definitely make you as a brain list
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Answer 1

Answer:

the roots are

$- 7 + \sqrt{17} \div 4and - 7 - \sqrt{17} \div 4$

Answer 2

Answer:

Step-by-step explanation:

 $2x^{2} + 7x + 4 = 0$

here a = 2,  b = 7 and c = 4

D = b² - 4ac ( quadratic formula)     D = discriminant

   = (7)² - 4 x 2 x 4

   = 49 - 32

   = 17

√D = √17

∴ here D is positive irrational number so both roots are distinct and irrational.

Roots = x = -b ±√D / 2a

                = -7 ±√17 / 2(2)

               = -7 ±√17 / 4

∴   $x = \frac{-7 + \sqrt{17} }{4} ====> and ====> x = \frac{-7 - \sqrt{17} }{4}$