MATHEMATICS HIGH SCHOOL

The product of two numbers is 450. the first number is half the second number. which equation can be used to find x, the greater number? = 450 225x2 = 0 x2 = 450 450x2 = 0

Answers

Answer 1

Answer:

Answer:

let the two number be x and y.

Given: the product of two numbers is 450.

then: $x* y =450$ ......[1]

Also from the given condition that; the first number is half the second number. Also, x>y.

i.e, $y=(1)/(2)x$

Substitute this in equation [1];

$x * (1)/(2)x =450$

$(1)/(2)x^2 = 450$ [∴ $x^a * x^b =x^(a+b)$ ]

Multiply both sides by 2; we get

$x^2 =450 * 2$

$x^2=900$

$x=√(900) =30$

Now, substitute this x value in [1], to solve for y;

$30 * y=450$

Divide by 30 from both the sides, we get;

$y = (450)/(30)=15$

Therefore, the equation $(1)/(2)x^2 = 450$ which can be used to find the value of x.

The greater number is x = 30.

Answer 2

Answer:

The equation is used to find x is;

$\rm x^2=900$

The value of the greater number x is 30.

Given

The product of the two numbers is 450.

The first number is half the second number.

Let the first number be x and the second number be y.

The product of the two numbers is 450.

$\rm x* y = 450$

The first number is half the second number.

$\rm x = (1)/(2) y$

Substitute the value of x in equation 1 from equation 2

$\rm x * y = 450\n\nx * (1)/(2)x = 450\n\nx^2 = 450 * 2\n\nx^2=900\n\nx=30$

Substitute the value of x in equation 1

$\rm x* y=450\n\n30 * y = 450\n\ny = (450)/(30)\n\ny = 15$

Hence, the value of the greater number x is 30.

To know more about Equation click the link given below.

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