Write a quadratic equation whise roots are 5/2 and 8/4
Answers
Answered by
0
(x-3)(x-5) = x2 - 8x + 15
The roots will be unchanged by multiplication by 3: 3x2 - 24x + 45
I hope it will help you
Answered by
0
Answer:
Required equation, which has 5 / 2 and 8 / 4 or 2 as roots, is 2x^2 - 9x + 10 = 0.
Step-by-step explanation:
Let the required equation be ax^2 + bx + c = 0.
Given that 5 / 2 and 8 / 4 are the roots of that equation.
According to the question : -
= > ( x - k )( x - p ) = 0 [ where k and p are roots ]
= > ( x - 5 / 2 )( x - 8 / 4 ) = 0
= > { ( 2x - 5 ) / 2 }{ ( 4x - 8 ) / 4 } = 0
= > ( 2x - 5 )( 4x - 8 ) = 0
= > 2x( 4x - 8 ) - 5( 4x - 8 ) = 0
= > 8x^2 - 16x - 20x + 40 = 0
= > 8x^2 - 36x + 40 = 0
= > 2x^2 - 9x + 10 = 0
Hence the required equation, which has 5 / 2 and 8 / 4 or 2 as roots, is 2x^2 - 9x + 10 = 0.
Similar questions