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2 years ago

The other question is in the picture

Mathematics

1 answer:

ludmilkaskok [199]2 years ago

4 0

Answer:

blue

Step-by-step explanation:

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9/20

Stella [2.4K]

Question:

Find the number of real number solutions for the equation. x^2 + 5x + 7 = 0

Answer:

The number of real solutions for the equation $x^{2}+5 x+7=0$ is zero

Solution:

For a Quadratic Equation of form : $a x^{2}+b x+c=0$ ---- eqn 1

The solution is $x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Now , the given Quadratic Equation is $x^{2}+5 x+7=0$ ---- eqn 2

On comparing Equation (1) and Equation(2), we get

a = 1 , b = 5 and c = 7

In $x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$ , $b^2 - 4ac$ is called the discriminant of the quadratic equation

Its value determines the nature of roots

Now, here are the rules with discriminants:

1) D > 0; there are 2 real solutions in the equation

2) D = 0; there is 1 real solution in the equation

3) D < 0; there are no real solutions in the equation

Now let solve for given equation

$D= b^2 - 4ac\\\\D = 5^2 - 4(1)(7)\\\\D = 25 - 28 \\\\D = -3$

Since -3 is less than 0, this means that there are 0 real solutions in this equation.

4 0

3 years ago

If someone could help!

ad-work [718]

Step-by-step explanation:

This time round, use SOH method (Sin angle = Opposite/Hypotenuse)

given Opposite = 7

Hypotenuse = 10

$\sin(x) = \frac{opposite}{hypotenuse} \\ \sin(x) = \frac{7}{10} \\ x = {sin}^{ - 1} ( \frac{7}{10} ) \\ = 44.4deg(nearest \: tenth)$

4 0

3 years ago

The carpet erin has chosen costs $2.50 per square foot . how much will it coast her to carpet the

baherus [9]

All you do is 2.5 times the number of feet so 2.5x , x is the number of feet

3 0

3 years ago

Yoda Soda is the intergalactic party drink that will have all your friends saying, "Mmmmmm, good this is!"

mario62 [17]

15 liters of Yoda Soda for the 36 guests.

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3 years ago

The formula S=3F-24 is used to calculate shoe size,S, from food length,F(in inches).which equation could be used to calculate fo

sp2606 [1]

Solving
S = 3F - 24
for F gives
S + 24 = 3F
(S + 24)/3 = F

The best choice is the last one:
F = (S + 24)/3

6 0

3 years ago