4x + 3 < 6x + 7 implies 4x-6x < 7-3 implies -2x < 4 implies x > -2 implies x in (-2, oo)
Polynomial functions of several variables are similarly defined, using polynomials in more than one indeterminate, as in displaystylef(x,y)=2x³+4x²y+xy⁵+y²-7. According to the definition of polynomial functions, there may be expressions that obviously are not polynomials but ...
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The equation -4x² - 5x - 9 = 0 has 2 complex roots when solved: x₁ = -0.625 + 1.363589i and x₂ = -0.625 - 1.363589i Detailed solution An equation like ax² + bx + c = 0, can be solved by using the quadratic equation formula: x = -b ±√b² - 4ac2a or x =...
Now x2+ 6x + 9 may be written as (x + 3)2. Add - 3 to both sides. Thus, 1 and -7 are solutions or roots of the equation. Example 6Solve 2x2+ 12x - 4 = 0 by completing the square. SolutionThis problem brings in another difficulty. The first term, 2x2, is not a perfect...
4x3−11x10 Factor x3(4−11x7) View solution steps Evaluate x3(4−11x7) Graph Quiz Polynomial f(x)=4x3−11x10 Similar Problems from Web Search For what values of x is f(x)=x3−4x2+5x concave or convex? https://socratic.org/questions/for-what-values-of-x-is-f-x-...
Example 1Solve 5x - 7 = 2x - 4x + 14. Solution First, we combine like terms, 2x - 4x, to yield 5x - 7 = -2x + 14 Next, we add +2x and +7 to each member and combine like terms to get 5x - 7 + 2x + 7 = -2x + 14 + 2x + 1 ...
Solve for x: x^2e^x-5x e^x = 0 Solve: \int^\infty_0 \frac {4x+6}{x^2+3x+7}dx Solve for x x 6 0 2 11 x + 4 1 14 2 x 7 = 0 Solve for x: (3x)/5 - 2 = x + 1/3 Solve for x if 4 - 5x = 59. Solve (x - 4)^2 + 4(x - 4) - 12 = 0 Solve fo...
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