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Mice21 [21]
3 years ago
9

If x^2 = 7 , x^4 + y^2 = 50, and y + w = 3, which of the following is possible Value of W

SAT
1 answer:
Colt1911 [192]3 years ago
7 0

Answer:

2 OR4 ; both correct

Explanation:

x^2=7

x^4+y^2=50

x^4=(x^2)^2=(7)^2=49 --> 49+y^2=50

y^2=50-49=1 --> y=±\sqrt{1} --> y=±1

+1 or -1 both possible --> solve both

+1+w=3 --> w = 3 - 1 = 2

OR

-1+w=3 --> w = 3 + 1 = 4

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  • Let the second number be y.

In this exercise, you're required to find two numbers by translating the word problem into an algebraic expression and then solving for the unknown variables (x and y).

Translating the word problem into an algebraic expression, we have;

Two numbers differ by 8:

x-y=8    ....equation 1.

The product of the two numbers is 713:

xy=713    ....equation 2.

To calculate the sum of the two numbers:

First of all, we would solve for each of the unknown variables (x and y).

From eqn. 1, we have:

x=8+y   ....equation 3.

Substituting eqn. 3 into eqn. 2, we have:

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