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The roots of the quadratic function y = 1 / 2 x 2 − 3x + 5 / 2 are the places where the graph intersects the x-axis, the values x = 1 and x = 5. They can be found via the quadratic formula. In elementary algebra, the quadratic formula is a closed-form expression describing the solutions of a quadratic equation.
The unique pair of values a, b satisfying the first two equations is (a, b) = (1, 1); since these values also satisfy the third equation, there do in fact exist a, b such that a times the original first equation plus b times the original second equation equals the original third equation; we conclude that the third equation is linearly ...
The equations x − 2y = −1, 3x + 5y = 8, and 4x + 3y = 7 are linearly dependent. For example, the equations + = + = are not independent — they are the same equation when scaled by a factor of two, and they would produce identical graphs.
The polynomial 3x 2 − 5x + 4 is written in descending powers of x. The first term has coefficient 3, indeterminate x, and exponent 2. In the second term, the coefficient is −5. The third term is a constant. Because the degree of a non-zero polynomial is the largest degree of any one term, this polynomial has degree two. [11]
PARIS (Reuters) -Iran's acceleration in its enrichment of uranium to close to bomb grade is "extremely serious", has no civilian justification and contradicts Tehran's assertions on wanting ...
These factorizations work not only over the complex numbers, but also over any field, where either –1, 2 or –2 is a square. In a finite field , the product of two non-squares is a square; this implies that the polynomial x 4 + 1 , {\displaystyle x^{4}+1,} which is irreducible over the integers, is reducible modulo every prime number .
In a Switzerland study, two people with spinal cord injuries received deep brain stimulation therapy and were able to walk without assistance and even climb stairs.
A painting by British artist George Stubbs is expected to sell for up to £2 million ($2.5 million) in London next week, as it comes to auction for the first time in more than 50 years.. The 18th ...