Question

if x + y = 11 and xy = 24 , then x square + y square =

Answer 1

x + y = 11
on squaring both sides
(x + y)² = (11)²
x² + y² + 2xy = 121
x² + y² + 2×24 = 121
x² + y² + 48 = 121
x² + y² = 121 - 48
x² + y² = 73

Answer 2

Concept:

In mathematics, an equation is a formula that connects two expressions with the equals sign "$=$" to express their equality.

Given:

The given equations are:

$x+y=11\\xy=24$

To Find:

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

Solution:

Write the given equation $x+y=11$

Square both the sides and substitute the value of $xy$.

$(x+y)^{2} =11^2\\x^2+y^2+2xy=121\\x^2+y^2=121-2(24)\\x^2+y^2=121-48\\x^2+y^2=73$

The value of $x^{2}+y^{2}=73$.

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