for what value of x for the equations to 3 X square + 2 X + x is equal to zero real and equal
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0 and -9. ....
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X = 1/3
step-by-step explanation:
Given,
quadratic equation :
3x^2 + 2x + X = 0
Here,
a = 3
b= 2
c = X
also,
the roots are real and equal
It means that the Descriminant (D) must be equal to zero,
=> D= 0
but weknow that,
D = b^2 -4ac
so,
b^2 - 4ac = 0
=> (2)^2 - 4 × (3) × (X) = 0
=> 4 - 12X = 0
=> 12X = 4
=> X = 4/12
=> X= 1/3
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