Question

the difference of squares of two numbers is 180 the square of the smaller number is 8 times the larger number find the two numbers​

Answer 1

Answer:

18,12

Step-by-step explanation:

let bigger number be x and smaller number be y

According to 1st condition

x² - y²=180 ....1

According to 2nd condition

y²= 8x

Substitute y² = 8x in 1

x² - 8x - 180 = 0

x² + 10x - 18x - 180 = 0

x(x+10) - 18 (x+10) =0

(x+10)(x-18) = 0

x = -10 or x= 18

number cannot be negative

so x is 18

y² = 8 × 18

y²=144

y= 12

Answer 2

{❥Answer࿐}

Let bigger number be "x" and smaller number be "y"

According to 1st equation:-

xᒾ-4ᒾ = 180 (1)

According to 2nd equation:-

yᒾ = 8x

substitute yᒾ = 8x in 1

Calculation:-

• xᒾ-8x-180 = 0
• xᒾ+10x-18x-180 = 0
• x(x+10) - 18(x+10) = 0
• (x+10) (x-18) = 0
• x = -10 or x = 18

Number can't be negative so, x is 18

Calculatio:-

• yᒾ = 8×18
• yᒾ = 144
• y = 12

hence solved