Solve up to 2 decimal places: 3x² – x – 7 = 0.
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x = 1.70 or -1.36
Step-by-step explanation:
According to the question the given quadratic equation is: "3x² – x – 7 = 0.
Now, we have to use Sridhar Acharya formula:
x = [−b±√(b²−4ac)]/2a
Here a = +3, b = -1 and c = -7.
So, x = [−(-1)±√((-1)²−4*(3)*(-7))]/2*a
or, x = [+1±√(1+84)]/2*3
or, x = [+1±√85]/6
or, x = [+1+√85]/6 or [+1-√85]/6
or, x = [+1+9.21]/6 or [+1-9.21]/6
or, x = 10.21/6 or -8.21/6
or, x = 1.70 or -1.36 [Ans]
Therefore, correct upto 2 decimal places the value of x will be either 1.70 or -1.36.
Thanks Dude!
have A Nice Day (^_^)
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