Solve x2 - 16x + 60 = -12 by completing the steps.

2 answers:

8 0

x2 - 16x + 60 = -12
1. First subtract 60 from each side
x -16x = -72
2. Next add 64 to each side. (You add half of 16 squared)
x^2-16x+64=-8
3. Next you factor.
(x-4)^2=8
4. Take the square root of both sides.
x-4=+/-sqrt(8)
5. Add 4 to both sides.
x=4+/-sqrt(8)

JulijaS [17]3 years ago

7 0

answer:

1. first, subtract: 60

2. next, add: 64

3. now, write ... : (x-8)²=-8

4. take the square root of both sides... : 8 and 2

hope this helps! :o)

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A number has the property that its square is equal to 84 more than five times the number. Enter all numbers that have this prope

Liono4ka [1.6K]

Answer:

The numbers for which the given property hold true are 12 and -7

Step-by-step explanation:

Let the number be $x$ .

As per the given statement:

Square of the number ( $x^{2}$ ) is 84 more than five times of the number ( $5x+84$ ).

Writing in the equation form:

$x^{2} =5x+84$

To find:

All the numbers for which above equation holds true.

Solution:

$x^{2} =5x+84$

Let us solve the above equation by rearranging the terms and then let us find the roots of the equation.

It is a quadratic equation(i.e. maximum power of $x$ is 2) so it will have 2 solutions i.e. 2 values of $x$ for which the above equation will hold true.

$x^{2} -5x-84=0$