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2 years ago

An equation and the first step in its solution are shown: Equation: x2 + 8x - 9 = 0

1 answer:

3 0

Answer- A-16

Because when doing completing the square, you divide the coefficient of x by 2, which is 4, and the square it which is 16

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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

Brian completed 34 free throws and missed 16.

ELEN [110]

46, 16 is a little less than 1/2 of 34, so and 46 is a little less than 1/2 of 100.

4 0

2 years ago

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Find the vertex of the given function. f(x) = |x+1| -7

kenny6666 [7]

Answer:

(-1, -7)

Step-by-step explanation:

Used desmos, also, in these situations I believe you can take the number inside the brackets and make it negative and keep the number outside the same to find the vertex.

7 0

2 years ago

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4. Calculate the compound interest earned when $8 500 at 8% per year for:

enyata [817]

I’m going to say a.3 years something is telling me it’s tht

8 0

2 years ago

Hannah received $30 for her birthday and bought 3 shirts that were all the same price. If she had $9 left over, which equation s

Natasha2012 [34]

Money spent + money left over = total money

money spent + 9 = 30

We don't know the price of each shirt, so let x = price of 1 shirt.
Then, 3 shirts cost 3 times as much as x, or 3x.
She spent 3x.

3x + 9 = 30

5 0

2 years ago

Read 2 more answers