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notsponge [240]
3 years ago
9

Solve: x^4-34x^2=-225

Mathematics
1 answer:
dangina [55]3 years ago
8 0
X
4
−34x
2
+225=0

2 Factor
x
4
−
34
x
2
+
225
x
4
−34x
2
+225.
(
x
2
−
25
)
(
x
2
−
9
)
=
0
(x
2
−25)(x
2
−9)=0

3 Solve for
x
x.
x
=
±
5
,
±
3
x=±5,±3
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If f(a) = K, then which of the following must be true? f(K) = a f -1(K) = a f -1(a) = K
Inessa05 [86]

Answer:


Step-by-step explanation:

given that f(a) = K

we have the options of

f(K) = a

f ⁻¹ (K) = a

f ⁻¹ (a) = K

Where f ⁻¹ denotes an inverse function.

If f(a) = K, then its reciprocate, f ⁻¹ (K) = a

because it is essentially undoing the original equation

6 0
3 years ago
About when does the softball reach its maximum height?
Masja [62]

Based on the given graph, the time when the softball reaches its maximum height is about 1.8 seconds.

<h3>When is the softball at it highest?</h3>

The softball is at its maximum height at the point where the curve begins to go back down.

This means the maximum height is 50 feet.

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7 0
1 year ago
−2x=x2−6 Rewrite the equation by completing the square.
V125BC [204]

Answer:

(x + 1)² = 7

Step-by-step explanation:

Given:

-2x = x² - 6

We'll start by rearranging it to solve for zero:

x² + 2x - 6 = 0

The first term is already a perfect square so that's fine.  Normally, if that term had a non-square coefficient, you would need to multiply all terms a value that would change that constant to a perfect square.

Because it's already square (1), we can simply move to the next step, separating the -6 into a value that can be doubled to give us the 2, the coefficient of the second term.  That value will of course be 1, giving us:

x² + 2x + 1 - 1 - 6 = 0

Now can group our perfect square on the left and our constants on the right:

x² + 2x + 1 - 7= 0

x² + 2x + 1 = 7

(x + 1)² = 7

To check our answer, we can solve for x:

x + 1 = ± √7

x = -1 ± √7

x ≈ 1.65, -3.65

Let's try one of those in the original equation:

-2x = x² - 6

-2(1.65) = 1.65² - 6

- 3.3 = 2.72 - 6

-3.3 = -3.28

Good.  Given our rounding that difference of 2/100 is acceptable, so the answer is correct.

6 0
3 years ago
What is the y-intercept of the equation 8x – 3y = 24?
Levart [38]

Answer:

-8

Step-by-step explanation:

Create this equation into a y=mx+b form

8x-3y=24

-8x       -8x           -8 to solve for -3y

-3y=-8x+24

----    ---   ---              divide by -3 to leave y by itself

-3      -3   -3

y= 8

    --- x-8

     3

y intercept is -8

7 0
3 years ago
Read 2 more answers
How many terms are there in the expressions 1 + 2k - j
kondaur [170]

Answer:

3 terms

Step-by-step explanation:

A term in mathematics, especially in Algebra, could be a number, a variable, variable together with a number or variables multiplied together as a single whole. Terms are usually separated with either negative or positive sign in an expression.

In the expression, 1 + 2k - j , there are 3 terms here spared by either the negative sign or the positive.

The 3 terms are: 1, 2k, j.

6 0
3 years ago
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