Question

The equation whose roots are numerically equal but opposite in sign of the roots of 2x2 – 3x - 2 = 0 ​

Answer 1

Answer:

Step-by-step explanation:

Given : roots are numerically equal but opposite in sign of the roots of 3x^2−5x−7=0 is

To find : Equation

Solution:

Let say root of  3x²−5x−7=0

are α & β

α + β = 5/3

αβ = -7/3

Then root of other equation

are -α & - β

Sum of roots = -α - β = -(α + β) = -5/3

Product of roots = (-α )(- β) = αβ = -7/3

Equation would be

x² - (sum of roots)x  + product of roots

= x² - (-5/3)x  - 7/3

= 3x² + 5x - 7

3x² + 5x - 7  is the Equation whose roots are numerically equal but opposite in sign of the roots of 3x²−5x−7=0 is

Answer 2

Answer:

2x²+3x-2=0

Step-by-step explanation:

WKT,

opposite in sign means f(-x)=0

ATP,

f(-x)=2(-x)²-3(-x)-2=0

f(-x)=2x²+3x-2=0

HOPE THIS HELPS YOU!