Question

X2+62=102 what is the value of x

Answer 1

For x² + 6² = 10² the values of x are - 8 , 8

Given : x² + 6² = 10²

To find : The value of x

Solution :

Step 1 of 2 :

Write down the given equation

The given equation is

x² + 6² = 10²

Step 2 of 2 :

Find the value of x

$\displaystyle \sf{ {x}^{2} + {6}^{2} = {10}^{2} }$

$\displaystyle \sf{ \implies {x}^{2} + 36 = 100 }$

$\displaystyle \sf{ \implies {x}^{2} = 100 - 36 }$

$\displaystyle \sf{ \implies {x}^{2} = 64}$

$\displaystyle \sf{ \implies x = \pm \: \sqrt{64} }$

$\displaystyle \sf{ \implies x = \pm \: 8 }$

Hence the required value of x = - 8 , 8

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Answer 2

Answer:

The value of x is 8 and -8.

Step-by-step explanation:

Given: Equation $x^{2} +62=102$

Find: the value of x.

Factorization of Quadratic Equations

Step 1: Consider the quadratic equation ax2 + bx + c = 0.

Step 2: Now, find two numbers such that their product is equal to ac and sum equals to b.

Step 3: Now, split the middle term using these two numbers.

Step 4: Take the common factors out and simplify.

In math, factorization is when you break a number down into smaller numbers that, multiplied together, give you that original number. When you split a number into its factors or divisors, that's factorization. For example, factorization of the number 12 might look like 3 times 4.

$x^{2} +6^{2} =10^2$

$x^{2} +36=100$

Subtract 36 from bot sides

$x^{2} =100-36\\x^{2} =64$

Take square root both sides

$x=\sqrt{64} \\x=8,-8$

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