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Illusion [34]
3 years ago
5

Solve 5x^2-4x-2=0 by completing the square

Mathematics
1 answer:
konstantin123 [22]3 years ago
5 0

Answer:

Hello

Here's the answer:

2x^2 + 5x + 2 = 0\\
2x^2+4x+x+2=0\\
2x(x+2)+1(x+2)=0\\
(2x+1)(x+2)=0\\
x=-\frac{1}{2} \vee x=-2

x^2-4x+1=0\\
x^2-4x+4-3=0\\
(x-2)^2=3\\
x-2 =\sqrt3 \vee x-2=-\sqrt3\\
x=2+\sqrt3 \vee x=2-\sqrt3

Step-by-step explanation:

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3 0
3 years ago
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The larger of two numbers is 5 more than the smaller. The smaller number plus the larger equals 100. Find the number.
I am Lyosha [343]

Answer:

Smaller number-47.5

Larger number-52.5

Step-by-step explanation:

We will make the smaller number x. If the smaller number is x, then the larger number will be equal to x+5. We also know that when we add the two numbers, we get 100. We can make the equation

x+x+5=100

100-5=95

2x=95

95/2=47.5

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The smaller number equals 47.5 and the larger number is 47.5+5 which equals 52.5

6 0
2 years ago
A square has sides of length s. A rectangle is 6 inches shorter and 1 inch longer than the square. Which of the following expres
Semmy [17]

Answer: Area of rectangle can be given by expressions:

(s-6)(s+1)\text {and }s^2-5s-6


Step-by-step explanation:

Given : A square has sides of length s.

According to the question,

Dimensions of new rectangles=(s-6)×(s+1)

Thus, Area of rectangle= (s-6)×(s+1)

=s^2-6s+s-6\\\Rightarrow\ s^2-5s-6

Thus , area of rectangle can be given by expressions:

(s-6)(s+1)\text {and }s^2-5s-6

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3 years ago
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