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3 years ago

7

Please solve the following quadratic equation and show your work: x^2 -x =30

1 answer:

saveliy_v [14]3 years ago

8 0

Rewriting the equation as a quadratic equation equal to zero:
x^2 - x - 30 = 0
We need two numbers whose sum is -1 and whose product is -30. In this case, it would have to be 5 and -6. Therefore we can also write our equation in the factored form
(x + 5)(x - 6) = 0
Now we have a product of two expressions that is equal to zero, which means any x value that makes either (x + 5) or (x - 6) zero will make their product zero.
x + 5 = 0 => x = -5
x - 6 = 0 => x = 6
Therefore, our solutions are x = -5 and x = 6.

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Solve for X! Please help

WARRIOR [948]

The two given angles are vertical angles which mean they are the same:

9x + 72 = 4x + 112

Subtract 72 from bot sides:

9x = 4x + 40

Subtract 4x from both sides:

5x = 40

Divide both sides by 5:

X = 8

4 0

2 years ago

What is the solution or solutions of 2^x=7

alina1380 [7]

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4 0

3 years ago

The sum of two numbers is 8and the sum of their squares is 34. What is the smaller number?

gladu [14]

Answer:

3

Step-by-step explanation:

3 squared is 9. 5 squared is 25. 25 + 9 = 34. 5 + 3 = 8. So the smaller number is 3.

4 0

3 years ago

Read 2 more answers

Please help if you can thanks ^^

Neko [114]

Given:

AD is an angle bisector in triangle ABC. $m\angle CAB=44^\circ, m\angle ACB=72^\circ, m\angle ABC=64^\circ$ .

To find:

The value of $m\angle ADC$ .

Solution:

AD is an angle bisector in triangle ABC.

$m\angle CAD=m\angle BAD=\dfrac{m\angle CAB}{2}$

$m\angle CAD=m\angle BAD=\dfrac{44^\circ}{2}$

$m\angle CAD=m\angle BAD=22^\circ$

According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees.

Using angle sum property in triangle CAD, we get

$m\angle CAD+m\angle ADC+m\angle ACB=180^\circ$

$22^\circ+m\angle ADC+72^\circ=180^\circ$

$m\angle ADC+94^\circ=180^\circ$

$m\angle ADC=180^\circ-94^\circ$

$m\angle ADC=86^\circ$

Therefore, the angle of angle ADC is $86^\circ$ .

3 0

3 years ago

1/2(x+2)+7=3x+(-32)<br><br> explained pls

aalyn [17]

Answer:

x is equal to 16

Step-by-step explanation:

Combine multiplied terms into a single fraction

Multiply by 1

Subtract 7 from both sides of the equation

Simplify it

Subtract 3 from both sides of the equation

Simplify

Multiply all terms by the same value to eliminate fraction denominators

Simplify

Subtract 2 from both sides of the equation

Simplify

Divide both sides of the equation by the same term

Simplify!

That's it!

3 0

2 years ago