Question

the product of two numbers is 12 and sum of their squares is 25 then find out sum f two number.​

Answer 1

Answer:

The sum of two numbers is 25, the sum of their squares is 313. What are the numbers?

Algebra Words that Describe Patterns

3 Answers

Altrigeos

May 26, 2017

13

and

12

Explanation:

If

x

+

y

=

25

then

y

=

25

−

x

.

Substitute:

x

2

+

y

2

=

313

x

2

+

(

25

−

x

)

2

=

313

2

x

2

−

50

x

+

312

=

0

x

2

−

25

x

+

156

=

0

(

x

−

13

)

(

x

−

12

)

=

0

x

=

13hence it's is your answer

,

y

=

12

x

=

12

,

y

=

13

Answer 2

GIVEN THAT :-

The Product of Two Numbers is 12

The Sum of Squares of The Numbers is 25

TO SOLVE :-

Thr Sum of The Numbers Given Above.

PROCESS :-

Let The Numbers Be "a" and "b"

Substitute values in the formula,

$(a + b) {}^{2} = {a}^{2} + {b}^{2} + 2ab$

$= > (a + b) {}^{2} = 25 + 2(12)$

$= > (a + b) {}^{2} = 49$

$= > a + b = 7$

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