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2 years ago

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Mathematics

1 answer:

DENIUS [597]2 years ago

5 0

The expression that the question is referring to is not visible. Sorry, I couldn’t give you a more valid answer.

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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

4 years ago

<img src="https://tex.z-dn.net/?f=4x%20-%20%20%7Bx%7D%5E%7B3%7D%20" id="TexFormula1" title="4x - {x}^{3} " alt="4x - {x}^{3} "

nydimaria [60]

X(2+x)(2-x) I think that’s correct

3 0

3 years ago

Read 2 more answers

2) Dorothy types 120 words per minute. How many words does Dorothy type in

Damm [24]

Answer:

D (210)

Step-by-step explanation:

120 times 1.75 equals 210

6 0

3 years ago

Read 2 more answers

Find the product of 2x^(4x² + 3x + 1). (1 point)

Vladimir79 [104]

Answer:

A - 8x + 6x² + 2x

Step-by-step explanation:

source: trust me bro

6 0

2 years ago

PLEASE help me solve this problem

irakobra [83]

Answer:

that looks hard?

Step-by-step explanation:

8 0

3 years ago