Question

guys can anyone solve all the level one please
only 2 question

Answer 1

Answer:

k = 7

Step-by-step explanation:

GIVEN :

x² - ( k + 6 ) x + 2 ( 2k - 1 ) has roots as α and β

Also, ( α + β ) = 1/2 αβ

TO FIND : Value of k.

SOLUTION :

x² - ( k + 6 ) x + 2 ( 2k - 1 ) as ax² + bx + c =0

Gives, a = 1 , b = - ( k + 6 ) & c = 2 ( 2k - 1 )

As we know that

sum of zeros of a quadratic equation,

( α + β ) = - b/a

so, ( α + β ) = ( k + 6 )

Product of zeros ,

αβ = c/a = 2 ( 2k - 1 )

But As ( α + β ) = 1/2 αβ

so, ( k + 6 ) = 1/2 x 2 ( 2k - 1 )

or , ( k + 6 ) = ( 2k - 1 )

or, k = 7

So, the value of comes to be 7 according to the condition.

Answer 2

tune kisko stupiiid kaha woh toh tu hi hai