(1) y² + x² = 53
(2) y - x = 5 ⇒ y = x + 5
subtitute (2) to (1)
(x + 5)² + x² = 53 |use (a + b)² = a² + 2ab + b²
x² + 2x·5 + 5² + x² = 53
2x² + 10x + 25 = 53 |subtract 53 from both sides
2x² + 10x - 28 =0 |divide both sides by 2
x² + 5x - 14 = 0
x² - 2x+ 7x - 14 = 0
x(x - 2) + 7(x - 2) = 0
(x - 2)(x + 7) = 0 ⇔ x - 2 = 0 or x + 7 = 0 ⇔ x = 2 or x = -7
subtitute the values of y to (2)
for x = 2, y = 5 + 2 = 7
for x = -7, y = 5 + (-7) = 5 - 2 = 3
Answer: x = 2 and y = 7 or x = -7 and y = 3
Answer:
x=4/3 or x=-7/2
Step-by-step explanation:
(3x-4)(2x+7)
1:4 and 6:24 because 3/3=1 and 12/3=4 and 6/2=3 and 24/2=12
(X^2+8x)-(x-8)=0
x(x+8)-1(x+8)=0
(X-1)(x+8)=0
X= 1
X= -8
Answer:
16 books fit and theres .8 inches left
Step-by-step explanation:
16x2.2 = 35.2
36 - 35.2 + 0.8
