Math, asked by nanbaguru1998, 10 months ago

X2+62=102 what is the value of x

Answers

Answered by pulakmath007
3

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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Answered by ahmadfardeen571
0

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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