Mathematics: Solve the simultaneous equation y = x - 3 and x^2 + y^2 = 5

Solve the simultaneous equation y = x - 3 and x^2

Ответ:

Rch64

26.09.2021

${x}^{2} + {(x - 3)}^{2} = 5 \\ {x}^{2} + {x}^{2} - 6x + 9 = 5 \\ 2 {x}^{2} - 6x + 4 = 0) \div 2 \\ {x}^{2} - 3x + 2 = 0 \\ (x - 1)(x - 2) = 0 \\ x = 1 \: or \: x = 2 \\ for \: x = 1 \\ y = 1 - 3 = - 2 \\ for \: x = 2 \\ y = 2 - 3 = - 1$

0,0(0 оценок)

Ответ:

Sushmitarai9416

19.07.2020

Mathematics

x²/4 + y²/8 = 1

Step-by-step explanation:

Let the equa of the ellipse be : x²/a + y²/b = 1

then

F(0,c) = (0,2) ⇒ c = 2 ⇒ c² = 4

directrice y = b²/c ⇒ b²/c = 4 ⇒ b²/2 = 4 ⇒ b² = 8

since a²=b²-c² ⇒ a²=8-4=4

finally , a²=4 and b² = 8

then x²/4 + y²/8 = 1

look at the photo below for the graph.

0,0(0 оценок)

Solve the simultaneous equation y = x - 3 and x^2 + y^2 = 5

Ответ:

Ответ:

Ask your question to the AI advisor

More tips

Answers on questions: Mathematics

Ask an AI advisor a question