Question

5x^2-16x-5=0 solve quadratic equation
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Answer 1

Solution :

Quadratic equation :

⠀⠀⠀⠀⠀⠀⠀• 5x² - 16x - 5 = 0

Here,

• a = 5
• b = -16
• c = - 5

By using Quadratic formula :

$\large \sf \: \frac{ - b \pm \sqrt{ {b}^{2} - 4ac} }{2a}$

We know that D = b² - 4ac

• Finding value of D

D = (-16)² - 4 × 5 × (-5)

D = 256 + 100

D = 356

Putting value of D in Quadratic formula

$: \implies \: \frac{ - ( - 16) \pm \sqrt{356} }{2 \times 5} \\ \\ : \implies \: \frac{16 \pm \sqrt{356} }{10} \\ \\ : \implies \: \frac{16 \pm2 \sqrt{89} }{10} \\ \\ : \implies \: \frac{2(8 \pm \sqrt{89}) }{10} \\ \\ : \implies \: \frac{8 \pm \sqrt{89} }{5}$

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