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3 years ago

X + Y is equal to 5 x minus Y is equal to 4 find the value of find the value of x square minus y square

Mathematics

1 answer:

Grace [21]3 years ago

7 0

Answer: 20

Step-by-step explanation:

x+y=5

x-y=4

---------

x+y=5

x=4+y

--------

(4+y)+y=5

4+y+y=5

4+2y=5

2y=1

y=0.5

x=4.5

---------

x²-y²=(4.5)²-(0.5)²=20.25-0.25=20

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Answer:

C, D

Step-by-step explanation:

This equation can be solved any of several ways. One that doesn't require much thought is using the quadratic formula.

For ax² +bx +c = 0, the solutions are ...

$x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

In the given equation, a=2, b=11, c=5, so this becomes ...

$x=\dfrac{-11\pm\sqrt{11^2-4\cdot2\cdot5}}{2\cdot2}=\dfrac{-11\pm\sqrt{81}}{4}\\\\x=\dfrac{-11\pm9}{4}=\left\{-\dfrac{20}{4},-\dfrac{2}{4}\right\}=\{-5,-\frac{1}{2}\}$

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D. x = -1/2

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2 years ago

X + Y is equal to 5 x minus Y is equal to 4 find the value of find the value of x square minus y square ​

X + Y is equal to 5 x minus Y is equal to 4 find the value of find the value of x square minus y square