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2 years ago

The quadratic equation 4x^2 + 12x + k = 0 has equal roots. Find the value of k.

Mathematics

1 answer:

cestrela7 [59]2 years ago

3 0

Answer:Sephardic.org

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Help me someone!!!!!!!!!!!!!!!!!!!!!!!

Julli [10]

Substitute answers in, a = 3 and b = 2.

(3^2 - 2^2)/(3+2)
= (9-4)/5
= 5/5
= 1

7 0

3 years ago

Which expression is equivalent to m^2-13m-30?

sergiy2304 [10]

Answer: First option

Step-by-step explanation:

You have the quadratic equation given in the problem:

$m^2-13m-30$

To find an equivalent expression you cacn factorize. Find two numbers whose sum is -13 and whose product is -30.

These numbers would be -15 and 2.

Therfore, you obtain the following equivalent expression:

$(m-15)(m+2)$

If you don't want to apply the method above, you can use the quadratic formula:

$x=\frac{-b+/-\sqrt{b^2-4ac}}{2a}$

Where:

$a=1\\b=-13\\c=-30$

When you susbstitute values you obtain that:

$x=15\\x=-2$

Then you can rewrite the equation as $(m-15)(m+2)$

7 0

3 years ago

Read 2 more answers

Harry worked the following hours in a week. What are the average hours worked for these five days?

Yuki888 [10]

Add all of the hours together than divide by 5 should get 40

4 0

3 years ago

Read 2 more answers

Find x, if 3x − 5(y + x ) ^2 = 16 and 4x + 2(y + x )^ 2 = 30

lana66690 [7]

Answer:

x = 7

Step-by-step explanation:

Start by solving for $(y+x)^2$ which is a common expression for both equations. Then in the first equation:

$3\,x5\,(y+x)^2=16\\3x-16=5\,(y+x)^2\\(y+x)^2=\frac{3\,x-16}{5}$

and in the second equation:

$4\,x+2\,(y+x)^2=30\\2\,(y+x)^2=30-4\,x\\(y+x)^2=15-2\,x$

Now we make the two $(y+x)^2$ expressions equal so we get:

$\frac{3\,x-16}{5} =15-2\,x\\3\,x-16=75-10\,x\\13\,x=75+16\\13\,x=91\\x=7$

8 0

4 years ago

I need help with this question!

ki77a [65]

Answer:

Step-by-step explanation:

4 0

3 years ago