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2 years ago

What is the solution of the equation x2 + 8x + 5 = 0?

Mathematics

1 answer:

Setler79 [48]2 years ago

5 0

Answer:

x = -0.683 (3dp)

x = -7.317 (3dp)

Step-by-step explanation:

Step 1: Apply the quadratic formula

(-b±( $\sqrt{b^{2}-4ac}$ )) / 2a

a = 1 (x²)

b = 8 (8x)

c = 5 (5)

(-8±( $\sqrt{8^{2}-4 x 1 x 5}$ )) / 2 x 1

Step 2: Simplify

(-8±( $\sqrt{44}$ )) / 2

Step 3: Solve

You need to replace the ± with first a + and then a -.

(-8+( $\sqrt{44}$ )) / 2 = -0.683 (3dp) = x

(-8-( $\sqrt{44}$ )) / 2 = -7.317 (3dp) = x

Hope this helps!

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sveticcg [70]

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3 years ago

Simplify (4^7/5^2)^3

Nuetrik [128]

Answer:

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Step-by-step explanation:

Remember, when raising a term with an exponent to some power, you must multiply the powers.

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3 years ago

Read 2 more answers

12 is 90% of what number? with steps

a_sh-v [17]

Answer:

<h3>Let's understand the concept:-</h3>

Here 12 is 90% of a number.
So we can say that 90% of That number is 12 .
In this way we can get the the number

<h3>Solution:-</h3>

Let,

the number=x

<h3>According to the question ,</h3>

${:}\longrightarrow$ $\sf 90\% \:of \;x=12$

We know 90%=90/100
so add it

${:}\longrightarrow$ $\sf {\dfrac {90}{100}}\times x=12$

${:}\longrightarrow$ $\sf {\dfrac {90x}{100}}=12$

Now use cross multiplication method

${:}\longrightarrow$ $\sf 90x=12\times 100$

${:}\longrightarrow$ $\sf 90x=1200$

Now interchange sides .

${:}\longrightarrow$ $\sf x={\dfrac {1200}{90}}$

${:}\longrightarrow$ $\sf x={\dfrac {200}{15}}$

Answer will come in decimals so we take approximate value.

${:}\longrightarrow$ $\sf x=13.3$

${:}\longrightarrow$ $\sf x=approximately \:13$

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2 years ago

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