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2 years ago

Solve the inequality -x^2-4x+5>0

1 answer:

5 0

−x2−4x+5>0
Let's find the critical points of the inequality.
−x2−4x+5=0
(−x+1)(x+5)=0(Factor left side of equation)
−x+1=0 or x+5=0(Set factors equal to 0)
x=1 or x=−5
Check intervals in between critical points. (Test values in the intervals to see if they work.)
x<−5(Doesn't work in original inequality)
−5<x<1(Works in original inequality)
x>1(Doesn't work in original inequality)
Answer: −5<x<1

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Solve the equation, keeping the value for x as an improper fraction. 23x = − 12x + 5 1.Isolate the variable by adding 12x to bot

kogti [31]

Answer:

$x=\frac{30}{7}$

Step-by-step explanation:

We have been given an equation $\frac{2}{3}x=-\frac{1}{2}x+5$ . We are asked to solve our given equation.

First of all, we will add $\frac{1}{2}x$ on both sides of equation to separate x variable on one side of equation.

$\frac{2}{3}x+\frac{1}{2}x=-\frac{1}{2}x+\frac{1}{2}x+5$

$\frac{2}{3}x+\frac{1}{2}x=5$

Now, we will make a common denominator.

$\frac{2*2}{3*2}x+\frac{1*3}{2*3}x=5$

$\frac{4}{6}x+\frac{3}{6}x=5$

Add numerators:

$\frac{4+3}{6}x=5$

$\frac{7}{6}x=5$

Upon multiply both sides of our equation by $\frac{6}{7}$ , we will get:

$\frac{6}{7}*\frac{7}{6}x=5*\frac{6}{7}$

$x=\frac{5*6}{7}$

$x=\frac{30}{7}$

Therefore, the solution for our given equation is $x=\frac{30}{7}$ .

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Answer:

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Step-by-step explanation:

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