Answer:
Shortcut Solution version 1:
(x+y)² = 9
take square root √ of both sides
x + y = √9
x + y = ± 3
so,
x = -3 - y
and
x = 3 - y
Shortcut Solution version 2:
apply a²-b² = (a+b)(a-b) rule,
(x+y)² - (3)² = 0
(x+y+3)(x+y-3) = 0
so
(x+y+3) = 0
(x+y-3) = 0
x = 3 -y
Long Cut Solution:
expand left side using perfect square rule,
x² + 2xy + y² = 9
x² + 2xy + y² - 9 = 0
now use Quadratic Equation Formula to solve for the roots,
and you will end up with same answer:
✓✓✓ Press that brainliest button if this was helpful. ✓✓✓
• • • Follow for more math solutions and fun facts! • • •
Copyright © 2024 EHUB.TIPS team's - All rights reserved.
Answers & Comments
Answer:
(x+y)² = 9 is a quadratic equation.
Shortcut Solution version 1:
(x+y)² = 9
take square root √ of both sides
x + y = √9
x + y = ± 3
so,
x = -3 - y
and
x = 3 - y
Shortcut Solution version 2:
(x+y)² = 9
apply a²-b² = (a+b)(a-b) rule,
(x+y)² - (3)² = 0
(x+y+3)(x+y-3) = 0
so
(x+y+3) = 0
x = -3 - y
and
(x+y-3) = 0
x = 3 -y
Long Cut Solution:
(x+y)² = 9
expand left side using perfect square rule,
x² + 2xy + y² = 9
x² + 2xy + y² - 9 = 0
now use Quadratic Equation Formula to solve for the roots,
and you will end up with same answer:
x = -3 - y
and
x = 3 - y
✓✓✓ Press that brainliest button if this was helpful. ✓✓✓
• • • Follow for more math solutions and fun facts! • • •