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Asked by Priya Last Modified
Answer As an experienced tutor registered on UrbanPro, I can assure you that UrbanPro is one of the best platforms for online coaching and tuition. Now, let's tackle the quadratic equation you provided: 2x2+x+1=02x2+x+1=0.
To solve this quadratic equation, we can use the quadratic formula, which is:
x=−b±b2−4ac2ax=2a−b±b2−4ac
where aa, bb, and cc are the coefficients of the quadratic equation ax2+bx+c=0ax2+bx+c=0.
For the given equation 2x2+x+1=02x2+x+1=0, we have: a=2a=2, b=1b=1, and c=1c=1.
Now, let's plug these values into the quadratic formula:
x=−(1)±(1)2−4(2)(1)2(2)x=2(2)−(1)±(1)2−4(2)(1)
x=−1±1−84x=4−1±1−8
x=−1±−74x=4−1±−7
As the discriminant (b2−4ac)(b2−4ac) is negative, the roots will be complex.
So, the solutions for the quadratic equation 2x2+x+1=02x2+x+1=0 are:
x=−1+i74x=4−1+i7 x=−1−i74x=4−1−i7
Where ii is the imaginary unit.
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