Question

The distance between two points (2,5)and (x,-7)is 13 find the value of x
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Answer 1

Answer:

x=7 or x=-3

Step-by-step explanation:

PLS MARK IT AS BRAINLIEST

Answer 2

Answer:

The distance between two points (2,5)and (x,-7)is 13. The value of x is -3 or 7

Step-by-step explanation:

The distance between two pints is given by:

d = √{(x₁ - x₂)² + (y₁ - y₂)²}

Let's substitute the values as follows:

13 = √{(2 - x)² + (5 + 7)²}

Squaring both sides we get:

169 = x² - 4x + 4 + 144

collecting the like terms together we have:

169 - 148 = x²- 4x

21 = x² - 4x

This is a quadratic equation.

Rewriting this we get:

x² - 4x - 21 = 0

Expanding the equation we have:

x² + 3x - 7x - 21 = 0

x(x + 3) - 7(x + 3) = 0

(x - 7)(x + 3) = 0

x = 7 or -3

So, x can take the value 7 or -3