Question

Find the equation that formed by squaring each root of the equation x2

+ 3x – 2 = 0​

Answer 1

Answer:

aakib ma hu aman Pa gal sksjhsjshshshhdxbbcbxbhxxhxhhzh

Answer 2

Given : x² + 3x - 2 = 0

To Find : equation formed by squaring each root of the equation

Solution:

x² + 3x - 2 = 0

 

Let say α , β are roots of x² + 3x - 2 = 0

α + β =  -3   αβ  = -2

Now α² , β² are roots of the equation formed by  squaring each root of the equation

x² - (α² + β²)x + α²β² = 0  is the Equation

α² + β² = (α + β )² - 2αβ = (-3)² - 2(-2) = 9+ 4 = 13

α²β² = (αβ )²   = (-2)²  = 4  

x² - 13x +4 = 0  

x² -13x +4 = 0   is   formed by squaring each root of the equation x² + 3x - 2 = 0

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