Question

ਦੋ ਘਾਤੀ ਸਮੀਕਰਣ 2x² – √5x + 1 = 0 ਦੇ : / The quadratic equation 2x²– √5x + 1 = 0 has : *

ਦੋ ਭਿੰਨ- ਭਿੰਨ ਵਾਸਤਵਿਕ ਮੂਲ ਹੋਣਗੇ / two distinct real roots

ਦੋ ਬਰਾਬਰ ਵਾਸਤਵਿਕ ਮੂਲ ਹੋਣਗੇ/ two equal real roots

ਕੋਈ ਵਾਸਤਵਿਕ ਮੂਲ ਨਹੀਂ ਹੋਵੇਗਾ / no real roots

2 ਤੋਂ ਵੱਧ ਵਾਸਤਵਿਕ ਮੂਲ ਹੋਣਗੇ / more than 2 real roots​

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

The quadratic equation 2x²– √5x + 1 = 0 has : 

• two distinct real roots

• two equal real roots

• no real roots

• more than 2 real roots

EVALUATION

Here the given Quadratic equation is

2x²– √5x + 1 = 0

Since it is quadratic equation

So it has two roots

Now Discriminant of the equation

= D

= b²– 4ac

= ( √5) ²– 4 × 2 × 1

= 5 - 8

= - 3 < 0

Hence the two roots are imaginary

Thus it has no real roots

FINAL ANSWER

Hence the correct option is no real roots

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