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3 years ago

Estimate the square root to the nearest integer. -51

Mathematics

1 answer:

marissa [1.9K]3 years ago

6 0

Answer:

Step-by-step explanation:

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3 years ago

Solve the rational equation: 2x/x-4-2x-5/x^2-10x+24=-3/x-6

jek_recluse [69]

Answer:

D. X=6.08, x=-0.58

Step-by-step explanation:

Given the rational expression

$\frac{2x}{x-4}-\frac{2x-5}{x^2-10x+24} = \frac{-3}{x-6}\\\frac{2x}{x-4}-\frac{2x-5}{x^2-4x-6x+24} = \frac{-3}{x-6}\\\frac{2x}{x-4}-\frac{2x-5}{x(x-4)-6(x-4)} = \frac{-3}{x-6}\\ \\\frac{2x}{x-4}-\frac{2x-5}{(x-4)(x-6)} = \frac{-3}{x-6}\\Rerrange;\\\frac{2x-5}{(x-4)(x-6)} = \frac{2x}{x-4}+ \frac{3}{x-6}\\\frac{2x-5}{(x-4)(x-6)} = \frac{2x(x-6)+3(x-4))}{(x-4)(x-6)}\\$

Cancel out the denominator on both sides

$2x-5 = 2x(x-6)+3(x-4)\\Expand\\2x-5 =2x^2-12x+3x-12\\2x-5 = 2x^2-9x-12\\Equate \ to \ zero\\2x^2-9x-12-2x+5 = 0\\2x^2-11x - 7 = 0\\$

Factorize

$x = -(-11)\pm\frac{\sqrt{(-11)^2-4(2)(-7)} }{2(2)}\\x = 11\pm\frac{\sqrt{121+56} }{4}\\x = 11\pm\frac{\sqrt{177} }{4}\\x = 11\pm\frac{13.3 }{4}\\x = \frac{11+13.3}{4} \ and \ x = \frac{11-13.3}{4} \\x = 6.08 \ and \ - 0.58$

Hence the required solution is X=6.08 and -0.58

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3 years ago

What is the sum of (5x2 + x - 3) and (-4x2 - x +9) ?

matrenka [14]

Answer:

$x^{2} + 6$

Step-by-step explanation:

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