Ans.
x= 6/5
Step-by-step explanation:
5x + x = 5x^2
x (5+1) = 5x^2
6 = 5x
x= 6/5
Author:
stout
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10Answer:
The roots of the equation are
x = 0 and x = 6 / 5.
Step-by-step-explanation:
The given quadratic equation is
5x + x = 5x².
We have to find the roots of the equation.
Now,
5x + x = 5x²
⇒ 6x = 5x²
⇒ 5x² - 6x = 0
Comparing with ax² + bx + c = 0, we get,
Now,
b² - 4ac = ( - 6 )² - 4 * 5 * 0
⇒ b² - 4ac = 36 - 0
⇒ b² - 4ac = 36
By quadratic formula,
x = [ - b ± √( b² - 4ac ) ] / 2a
⇒ x = [ - ( - 6 ) ± √36 ] / 2 * 5
⇒ x = ( 6 ± 6 ) / 10
⇒ x = 2 ( 3 ± 3 ) / 10
⇒ x = ( 3 ± 3 ) / 5
⇒ x = ( 3 + 3 ) / 5 OR x = ( 3 - 3 ) / 5
⇒ x = 6 / 5 OR x = 0 / 5
⇒ x = 6 / 5 OR x = 0
∴ The roots of the equation are
x = 0 and x = 6 / 5.
Author:
finncmll
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