find out zero of p(x) =x2 + 51x - 150
Answers
Answer:
there zero is only not there
Answer: The zeros of the polynomial p(x) = x^2 + 51x - 150 are approximately 2.22 and -53.22.
Step-by-step explanation:
To find the zeros of the quadratic polynomial p(x) = x^2 + 51x - 150, we need to solve for the values of x that make the polynomial equal to zero.
We can use the quadratic formula to find the zeros of the polynomial. The quadratic formula states that for a quadratic equation of the form ax^2 + bx + c = 0, the solutions for x can be found using the formula:
x = (-b ± √(b^2 - 4ac))/2a
For the polynomial p(x) = x^2 + 51x - 150, we have a = 1, b = 51, and c = -150. Substituting these values into the quadratic formula, we get:
x = (-51 ± √(51^2 - 4(1)(-150)))/2(1)
Simplifying this expression, we get:
x = (-51 ± √(2801))/2
Therefore, the zeros of the polynomial are:
x1 = (-51 + √(2801))/2 ≈ 2.22
x2 = (-51 - √(2801))/2 ≈ -53.22
Thus, the zeros of the polynomial p(x) = x^2 + 51x - 150 are approximately 2.22 and -53.22.
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