If 1/2 is a root of the equation x^2+kx-(5/4) = 0 , then find the value of k

ye1neh4

ye1neh4

Answered question

2022-09-20

If 1 2 is a root of the equation x 2 + k x ( 5 4 ) = 0, then find the value of k

Answer & Explanation

gerasseltd9

gerasseltd9

Beginner2022-09-21Added 8 answers

Step 1
Given
1 2 is a root of the equation x 2 + k x 5 4 = 0
Step 2
Then,
Substitute x = 1 2
( 1 2 ) 2 + k ( 1 2 ) ( 5 4 ) = 0
( k 2 ) = ( 5 4 ) 1 4
k 2 = 20 4 16
k 2 = 16 16
k 2 = 1
k = 2
k = 2

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