Solve for x.

1 answer:

3 0

Hey there.. Lets solve this problem step by step

Given problem --> 5x² - 45 = 0

Step 1 - adding both sides by 45
5x² - 45 + 45 = 0 + 45
5x² = 45

Step 2 - dividing both sides by 5
$\frac{5}{5} x^2 = \frac{45}{5}$
x² = 9

Step 3 - taking square root on both sides to find the value of x
√x² = √9
x = 3 and -3

So correct option is D.

Hope this helps you.. :)

You might be interested in

Complete the equation of the line through (6,-6) and (8,8). Use exact numbers. y=?

MariettaO [177]

Y = 7x - 48

use slope formula so, y2 - y1 over x2 - x1 to get your m value or your slope which is 7. then plug in the slope and a random set of point so I used (6, -6). -6 = 6(7) + b, simplify.
-6 = 42 + b, subtract 42 which leaves you with b= -48. hope this helps :)

6 0

3 years ago

What happens when the two addends have opposite signs and the number with the larger magnitude (size) is positive?

zimovet [89]

Answer:

The smaller addend is subtracted from the bigger addend

Step-by-step explanation:

Represent the two numbers with a and b such that a > b

So, the mathematical representation will be

$+a + (-b)$

Open the bracket

$+a -b$

This implies that the smaller addend (b) is subtracted from the bigger addend (b)

Take for instance; a = 6 and b = 4

This gives

$+6 + (-4)$

Open the bracket

$= +6 - 4$

$= 2$

7 0

3 years ago

What is the product? 2 1/3 × 3 1/4

asambeis [7]

Answer:

7.583333 / 7 7/12

Step-by-step explanation:

2 1/3 × 3 1/4

2 1/3=7/3

3 1/4= 13/4

7/3 * 13/4

=91/12

=7 7/12

4 0

3 years ago

Solve x^2 – 8x + 41 = 0 for x.

icang [17]

$\displaystyle x^2 - 8x + 41 = 0 \\\\ \Delta=b^2-4ac \\ \Delta=(-8)^2-4\cdot1\cdot41 \\ \Delta=64-164 \\ \Delta=-100 \\ \\ X_{1,2}= \frac{-b\pm i \sqrt{-\Delta} }{2a} = \frac{8 \pm 10i}{2} \\ \\ X1=4-5i \\ \\ X2=4+5i$