Question

the square of a number is 10 more than three times the number​

Answer 1

Answer:

x²=10+3x

x²-3x-10=0

x²-5x+2x-10=0

x(x-5)+2(x-5)=0

(x+2)(x-5)=0

x+2=0

x=-2,

x-5=0

x=5,

x=-2,5

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Step-by-step explanation:

Answer 2

Given : the square of a number is 10 more than three times the number​

To Find : The Number

Solution:

Let Say Number is N

square of   number  = N²

10 more than three times the number​  = 3N + 10

Equate both

=> N² = 3N + 10

=> N² - 3N - 10 = 0

Using middle term split

=> N² - 5N + 2N - 10 = 0

=> N (N - 5) + 2(N - 5) = 0

=> (N - 5)(N + 2) = 0

=> N = 5 , N = - 2

Hence Numbers are  -2  and  5

Verification :

(-2)² = 4

3(-2) + 10  = 4

4 = 4

5² = 25

3(5) + 10 = 25

25 = 25

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