Question

Solution of this equation sqrt x+10-9=-7

Answer 1

Original equation 
√x+10-9 = -7

Isolate
√x+10 = 9-7

√x+10 = 2
 Raise both sides to the second power
 (√x+10)2 = (2)2

 After squaring 
 x+10 = 4

 x + 6 = 0

so the answer is x=-6

Answer 2

The solution of the equation $\sqrt {x + 10} - 9 = - 7$ is $\boxed{{\mathbf{ - 6}}}$.

Further explanation:  

The square root of a number $x$ is a number $y$ if it follows the condition ${y^2} = x$.

The symbol of the square root is $\sqrt {}$.

Given:

The given equation is $\sqrt {x + 10} - 9 = - 7$.

Step by step explanation:

Step 1:

Add 9 both sides of the equation .

$\begin{aligned}\sqrt {x + 10} - 9 + 9 &= - 7 + 9 \hfill \\\sqrt {x + 10}&= 2 \hfill \\\end{aligned}$  

Step 2:

Now square both sides of the equation.

${\left( {\sqrt {x + 10} } \right)^2} = 4$  

Step 3:

The expression ${\left( {\sqrt x } \right)^2}$ can be written as $x$.

Therefore, the expression ${\left( {\sqrt {x + 10} } \right)^2}$ can be written as $x + 10$.

Step 4:

Now solve the expression ${\left( {\sqrt {x + 10} } \right)^2} = 4$ as,

$\begin{aligned}{\left( {\sqrt {x + 10} } \right)^2} &= 4 \hfill \\x + 10 &= 4 \hfill \\\end{aligned}$  

Step 5:

Now collect the like terms and solve as,

$\begin{aligned}x &= 4 - 10 \hfill\\x &= - 6 \hfill\\\end{aligned}$  

Therefore, the solution of the equation $\sqrt {x + 10} - 9 = - 7$ is $- 6$.

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Answer details:

Grade: High school

Subject: Mathematics

Chapter: Linear equation

Keywords: square, square root, number, add, divide, subtract, expression, symbol, real number, collect, keep aside, linear equation