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2 years ago

Explain why a positive discriminant results in two real solutions.

Mathematics

1 answer:

melamori03 [73]2 years ago

5 0

Answer:

Step-by-step explanation:

If the discriminant b^2 - 4ac > 0, then the two solutions are

$\frac{-b +- \sqrt{b^2 - 4ac} }{2a}$ , and in both cases, the value on the square root is > 0, so the result will always be a real number.

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Fill in the blank.<br> (5x)2<br> a0x2

Yuki888 [10]

Answer: $a_0=25$

Step-by-step explanation:

It is given that, $(5x)^2=a_0x^2$

We need to find the value of $a_0$

As $(5x)^2=a_0x^2$

Solving LHS

$25x^2=a_0x^2$

Now comparing the coefficients of $x^2$

In LHS the coefficient of $x^2$ is 25

In RHS the coefficient of $x^2$ is $a_0$

It implies that, $a_0=25$

So, the value of $a_0$ is 25.

5 0

2 years ago

Which expression is equivalent to 5^3√6c+7^3√6c, if c ≠ 0

scZoUnD [109]

Answer:

Option C

Step-by-step explanation:

complete question

A. 35[3]6cB. 12[3]12cC. 12[3]6cD.72c

The given equation can be written as

5^3√6c+7^3√6c

5 * $\sqrt{3 *3*2c}$ + 7 * $\sqrt{3 *3*2c}$

5 * 3 * $\sqrt{2c}$ + 7 * 3 * $\sqrt{2c}$

15 * $\sqrt{2c}$ + 21 * $\sqrt{2c}$

36 * $\sqrt{2c}$

12 [3]* $\sqrt{2c}$

Option C is correct

4 0

2 years ago

Solve for h. 6+h+8=24

lozanna [386]

Answer:

the answer to your question is h = 10

8 0

3 years ago

Read 2 more answers

60000x3+4 pls help fast

Ilya [14]

First, you have to multiply 60000 by 3 and you will get 180000. Then you add 4 and your final answer is 180004

5 0

2 years ago

Suppose h(t) = -4t^2+ 11t + 3 is the height of a diver above the water (in

Bingel [31]

The diver will hit the water when the height is zero, so we will want to set our height function equal to zero
0 = -4t^2 + 11t + 3
we will then factor to find out value of t that make the function equal to zero
0 = (-4t - 1 ) ( t - 3 )
This means our function equals zero when t = -1/4 s and t = 3 seconds
Since time cannot be negative, our final solution is t = 3 seconds

4 0

2 years ago

Read 2 more answers