find the value of k for which one root of quadratic equation 3 x square - 14 x + 8 is equals to zero is to
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3x square -14x+8=0
3x square -12x -2x+8=0
3x(x-4) -2(x-4)=0
(x-4)(3x-2)=0
x-4=0
x=4
3x-2=0
3x=2
x=2/3
x=4,2/3
3x square -12x -2x+8=0
3x(x-4) -2(x-4)=0
(x-4)(3x-2)=0
x-4=0
x=4
3x-2=0
3x=2
x=2/3
x=4,2/3
Answered by
1
Answer:
The value of k for which one root of quadratic equation 3x² - 14x + 8 is equal to zero is either +(2/3) or +4.
Step-by-step explanation:
So according to the question we have to find the value of k that satisfy the quadratic equation given.
3x² - 14x + 8 = 0
or 3x² - (12+2)x + 8 = 0
or, 3x² - 12x - 2x + 8 = 0
or, 3x(x - 4) - 2(x - 4) = 0
or, (3x - 2)(x - 4) = 0
or, x = 2/3 or x = 4.
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