Answer:
Exact Form: x = −10 + √19
Answer: x = -3, 7
(I edited it) This would be my best guess based on the answers you provided
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[tex]-3[/tex] is the solution to the equation [tex]\sqrt{-2x-5}[/tex] [tex]-4=x[/tex].
What is solution of an equation?
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true. For equations having one unknown, raised to a single power, two fundamental rules of algebra, including the additive property and the multiplicative property, are used to determine its solutions.
According to the questions, we have the following equation:
[tex]\sqrt{-2x-5}[/tex][tex]-4=x[/tex]
⇒[tex]-2x-5=(x+4)^{2}[/tex]
⇒[tex]-2x-5=x^{2} +16+8x[/tex]
⇒[tex]x^{2} +10x+21=0[/tex]
⇒[tex](x+5)=2[/tex][tex],-2[/tex]
⇒[tex]x=-3,-7[/tex]
[tex]x=-3[/tex] satisfies the equation.
Hence,[tex]-3[/tex] is the solution to the equation [tex]\sqrt{-2x-5}[/tex][tex]-4=x[/tex]
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