Question

Check whether the equation 5x^2 – 6x – 2 = 0 has real roots

Answer 1

Step-by-step explanation:

6 – 4 × 5 × (–2)

= 76 > 0

So, the given equation has two distinct real roots.

5x2 – 6x – 2 = 0

Multiplying both sides by 5.

(5x)2 – 2 × (5x) × 3 = 10

(5x)2 – 2 × (5x) × 3 + 32 = 10 + 32

(5x – 3)2 = 19

5x – 3 = ±√19

x = (3 ± √19)/5

Answer 2

Answer:

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