# algebra 2

posted by .

Find two negative numbers such that the sum of their squares is 170 and twice the square of the first minus 3 times the square of the second is 95

• algebra 2 -

a^2+b^2 = 170
2a^2-3b^2 = 95
substituting,
2a^2-3(170-a^2) = 95
5a^2 - 510 = 95
5a^2 = 605
a^2 = 121

a = -11
b = -7

## Respond to this Question

 First Name School Subject Your Answer

## Similar Questions

1. ### Math

i^6 = (i^2)^3 = (-1)^3 = -1 The square, not the square root of -1 is 1. :) B.t.w., can you prove that -1 times -1 is 1?
2. ### Algebra

I am a bit confused about conjugates in algebra. I am supposed to multiply 8/(the square root of two + 4) by the square root of 2 -4. My math book then goes on to simplify this to (8 times the square root of two minus 32) divided by …
3. ### Algebra (urgent!)

I am a bit confused about conjugates in algebra. I am supposed to multiply 8/(the square root of two + 4) by the square root of 2 -4. My math book then goes on to simplify this to (8 times the square root of two minus 32) divided by …
4. ### 8th Grade Math

*I NEED THESE IN ALGEBRAIC EXPRESSIONS! 1.) The larger of two numbers is 1 less than 3 times the smaller. Their sum is 63. Find the numbers. 2.) Find two numbers whose sum is 92, if the first is 4 more than 7 times the second. 3.) …
5. ### Algebra.

Three times the square of a number minus twice the same number is 8. Find all such numbers.
6. ### Math

find three consecutive positive odd integers such that the sum of the squares of the first and second integers is equal to the square of the third integer minus 7?
7. ### math

The sum of two numbers is -62. Twice the first minus the second is 41. Find the numbers.
8. ### algebra

Three numbers are such that the first number is 10 less than twice the second and the second number is 4 more than three times the third. Twice the second number is equal to the sum of the first and third numbers. Find the numbers
9. ### Algebra

The sum of two numbers is 53. If twice the 1st number minus 3 times the second number is 26, find both numbers.
10. ### Algebra

Two numbers add up to 20. The sum of their square is 20 less than 3 times their product. Formulate equations and find the numbers. I know the first equation (x+y=20), but i don't know the second one.

More Similar Questions