All categories

3 years ago

Find the sum of the roots of the quadratic x^2+7x-13=0

Mathematics

1 answer:

ahrayia [7]3 years ago

3 0

x=-7√101/2

also -7√101 is over 2 if you couldnt tell

You might be interested in

Solve the system by using a matrix equation (Picture provided)

Katyanochek1 [597]

Answer:

Option b is correct (8,13).

Step-by-step explanation:

7x - 4y = 4

10x - 6y =2

it can be represented in matrix form as $\left[\begin{array}{cc}7&-4\\10&-6\end{array}\right] \left[\begin{array}{c}x\\y\end{array}\right] = \left[\begin{array}{c}4\\2\end{array}\right]$

A= $\left[\begin{array}{cc}7&-4\\10&-6\end{array}\right]$

X= $\left[\begin{array}{c}x\\y\end{array}\right]$

B= $\left[\begin{array}{c}4\\2\end{array}\right]$

i.e, AX=B

or X= A⁻¹ B

A⁻¹ = 1/|A| * Adj A

determinant of A = |A|= (7*-6) - (-4*10)

= (-42)-(-40)

= (-42) + 40 = -2

so, |A| = -2

Adj A= $\left[\begin{array}{cc}-6&4\\-10&7\end{array}\right]$

A⁻¹ = $\left[\begin{array}{cc}-6&4\\-10&7\end{array}\right]$ / -2

A⁻¹ = $\left[\begin{array}{cc}3&-2\\5&-7/2\end{array}\right]$

X= A⁻¹ B

X= $\left[\begin{array}{cc}3&-2\\5&-7/2\end{array}\right] *\left[\begin{array}{c}4\\2\end{array}\right]$

X= $\left[\begin{array}{c}(3*4) + (-2*2)\\(5*4) + (-7/2*2)\end{array}\right]$

X= $\left[\begin{array}{c}12-4\\20-7\end{array}\right]$

X= $\left[\begin{array}{c}8\\13\end{array}\right]$

x= 8, y= 13

solution set= (8,13).

Option b is correct.

3 0

3 years ago

To all who are good at math please help 80 points

sergejj [24]

Answer:

Number 4

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

look at the figure shown below which step should be used to prove that point a is equidistant from points c and b

JulijaS [17]

D
is certainly wrong. You could extend the length of AD as far as you want and the two triangles (ABD and ACD) would still be congruent.

C
is wrong as well. The triangles might be similar, but they are more. They are congruent.

B
You don't have to prove that. It is given on the way the diagram is marked.

A
A is your answer. The two triangles are congruent by SAS

3 0

3 years ago

A. What is the perimeter of the rectangle?<br> B. What is the area of the rectangle?

Archy [21]

Answer:

A) perimeter = 3 + 3 + 8 + 8 = 22 units

B) area = 3 x 8 = 24 units²

Step-by-step explanation:

4 0

2 years ago

What value of k will result in the quadratic having one rational solution if 4x2+kx+4=0?

PtichkaEL [24]

The value of 'k' in the quadratic Equation $4x^{2}+kx+4=0$ having one rational solution is k is 8.

<h3>What is a Quadratic Equation?</h3>

Quadratic equations are the polynomial equations of degree 2 in one variable of the type $f(x) = ax^{2} + bx + c = 0$ where a, b, c, ∈ R and a ≠ 0.
The standard form of a quadratic equation is $ax^{2} + bx + c = 0$ .