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3 years ago

Which statements are true for the following expression? 13 · (2 + 9)

Mathematics

1 answer:

Komok [63]3 years ago

8 0

Answer:

13×11

143 ..

what are the statements?

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Solve for x: −2(x − 2)2 + 5 = 0

Licemer1 [7]

Option A

The values of x are 3.58 or 0.42

Solution:

Given, equation is $-2(x-2)^{2}+5=0$

We have to solve for the x and choose from the options given,

Now, take the equation,

$\begin{array}{l}{\rightarrow-2(x-2)^{2}+5=0} \\\\ {\rightarrow-2(x-2)^{2}=-5}\end{array}$

Negative sign cancels on both sides

$\begin{array}{l}{\rightarrow 2(x-2)^{2}=5} \\\\ {\rightarrow(x-2)^{2}=\frac{5}{2}}\end{array}$

Taking square root on both sides, we get

$\begin{array}{l}{\rightarrow x-2=\sqrt{\frac{5}{2}}} \\\\ {\rightarrow x-2=\pm 1.58} \\\\ {\rightarrow x=2 \pm 1.58}\end{array}$

$\begin{array}{l}{\rightarrow x=2+1.58 \text { or } 2-1.58} \\\\ {\rightarrow x=3.58 \text { or } 0.42}\end{array}$

Hence, the values of x are 3.58 or 0.42, so option A is correct.

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