find the sq root of the equation 2xsq-5x+3=0
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Square root or root?
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21
Answer :
The given quadratic equation is
2x² - 5x + 3 = 0
➨ 2x² - (2 + 3)x + 3 = 0, since 5 = 2 + 3
➨ 2x² - 2x - 3x + 3 = 0
➨ 2x (x - 1) - 3 (x - 1) = 0
➨ (x - 1) (2x - 3) = 0
∴ either x - 1 = 0, or 2x - 3 = 0
➨ x = 1, x = 3/2
∴ the required roots are x = 1, 3/2
Hope it helps!
The given quadratic equation is
2x² - 5x + 3 = 0
➨ 2x² - (2 + 3)x + 3 = 0, since 5 = 2 + 3
➨ 2x² - 2x - 3x + 3 = 0
➨ 2x (x - 1) - 3 (x - 1) = 0
➨ (x - 1) (2x - 3) = 0
∴ either x - 1 = 0, or 2x - 3 = 0
➨ x = 1, x = 3/2
∴ the required roots are x = 1, 3/2
Hope it helps!
Answered by
3
_______________________
Given Equation : 2x² - 5x + 3 = 0
To find the square root of the equation.
Now
2x² - 5x + 3 = 0
=> 2x² - ( 3 + 2 )x + 3 = 0 [ °•° ( 3 + 2 ) = 5 ]
[ • Using middle term method ]
=> 2x² - 3x - 2x + 3 = 0
=> x ( 2x - 3 ) - 1 ( 2x - 3 ) = 0
=> ( 2x - 3 ) ( x - 1 ) = 0
Now ,
•°• either , ( 2x - 3 ) = 0 or , ( x - 1 ) = 0
2x = 3 x = 1
x = 3 / 2
So , x = 3 / 2 , 1 [ ★ Required answer ]
•°• The square roots of the following Equation are 3 / 2 and 1.
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