Question

if x+y=5andxy=24 then the value of x²+y²is​

Answer 1

$x + y = 5$

$xy = 24$

$x {}^{2} + y {}^{2} =?$

$(x + y) {}^{2} = x {}^{2} + y {}^{2} + 2xy$

$(5) {}^{2} = x {}^{2} + y {}^{2} + 2 \times 24$

$x {}^{2} + y {}^{2} = 25 - 48$

$x {}^{2} + y {}^{2} = - 23$

Answer 2

Answer:

x² + y² = -23

Step-by-step explanation:

x + y = 5

xy = 24

★ (a + b)² = a² + b² + 2ab

(x + y)² = 5²

→ x² + y² + 2xy = 25

→ x² + y² + (2×24) = 25

→ x² + y² + 48 = 25

→ x² + y² = 25 - 48

→ x² + y² = -23

Therefore x² + y² is -23.

Thanks !