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bonufazy [111]
3 years ago
14

Select the two values of x that are roots of this equation. 2x+11x+15= 0

Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
5 0

Answer:

The roots of the equation are x=-3 and x=-2.5

Step-by-step explanation:

<u><em>The correct quadratic equation is</em></u>

2x^2+11x+15=0

we know that

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0 is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

2x^{2} +11x+15=0  

so

a=2\\b=11\\c=15

substitute in the formula

x=\frac{-11(+/-)\sqrt{11^{2}-4(2)(15)}} {2(2)}

x=\frac{-11(+/-)\sqrt{121-120}} {4}

x=\frac{-11(+/-)\sqrt{1}} {4}

x=\frac{-11(+/-)1} {4}

x_1=\frac{-11(+)1}{4}=-2.5

x_2=\frac{-11(-)1}{4}=-3

therefore

The roots of the equation are x=-3 and x=-2.5

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The product of the matrices is an identity matrix. Therefore, X and A are inverse of each other.

The matrices are given as:

X = \left[\begin{array}{cc}-1&-3\\4&2\end{array}\right]

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To check the matrices are inverse, we calculate their products.

A \times X =  \left[\begin{array}{cc}\frac 15&\frac 3{10}\\-\frac 25 &-\frac 1{10}\end{array}\right] \times \left[\begin{array}{cc}-1&-3\\4&2\end{array}\right]

Multiply the rows of A by the column of X.

This gives

A \times X =  \left[\begin{array}{cc}\frac 15 \times -1 + \frac{3}{10} \times 4&\frac 15 \times -3 + \frac{3}{10} \times 2\\ -\frac 25 \times -1 - \frac{1}{10} \times 4&-\frac 25 \times -3 + -\frac{1}{10} \times 2\end{array}\right]

A \times X = \left[\begin{array}{cc}1&0\\0&1\end{array}\right]

The product of  A and X is an identity matrix.

This means that; both matrix are inverse of each other

Read more about matrix at:

brainly.com/question/4017205

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Step-by-step explanation:

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Answer: there are eight bicycles and 7 tricycles.

Step-by-step explanation:

Let x represent the number of bicycles that are there.

Let y represent the number of tricycles that are there.

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X = -6
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nadezda [96]
<h3>That means to subtract 7, from 4 times of 'y' .</h3>

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