ਹੇਠਾਂ ਦਿੱਤੀ ਸਮੀਕਰਣ ਵਿੱਚ k ਦਾ ਉਹ ਮੁੱਲ ਪਤਾ ਕਰੋ ਜਿਸ ਲਈ ਦਿੱਤੀ ਗਈ ਸਮੀਕਰਣ ਦੇ ਮੂਲ ਬਰਾਬਰ ਹੋਣ: Find the value of k for the following quadratic equation, so that it should have equal roots: दी गई समीकरण में k का मान ज्ञात करें जिस के लिये समीकरण के मूल बराबर हों: kx²+ 6x + 1 = 0 *
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Given : kx²+ 6x + 1 = 0 *
Equal Roots
To Find : value of k
Solution:
ax² + bx + c = 0
Real and Equal roots if D = 0
Real unequal roots if D > 0
non real roots if D < 0
D = b² - 4ac
kx²+ 6x + 1 = 0
a = k
b = 6
c = 1
D = 6² - 4k
D = 0 as roots are Equal
=> 6² - 4k = 0
=> 4k = 36
=> k = 9
9x²+ 6x + 1 = 0
=> ( 3x +1 )² = 0
Value of k = 9
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