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## Type the correct answer in each box. Use numerals instead of words. Consider this quadratic equation. x2 + 2x + 7 = 21 The number of posi

Question

Type the correct answer in each box. Use numerals instead of words. Consider this quadratic equation. x2 + 2x + 7 = 21 The number of positive solutions to this equation is . The approximate value of the greatest solution to the equation, rounded to the nearest hundredth, is .

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2021-09-12T05:33:56+00:00
2021-09-12T05:33:56+00:00 2 Answers
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## Answers ( )

Answer:

(a) 1

(b) 1

(c) 3.03

Step-by-step explanation:

The given quadratic equation is

Subtract 27 from both sides.

Taking out common factor.

Divide both sides by 4.

If an expression is , then we need to add , to make it perfect square.

Here, b=2, so

Add 1 on both sides.

Taking square root on both sides.

Subtract 1 from both sides.

and

and

Only one solution is positive.

Greatest solution is 3.031, therefore the approximate value of this solution is 3.03.

Answer:## This quadratic equation has only 1 positive solution, and the greatest solution is 2.87, rounded to the nearest hundredth.

Step-by-step explanation:The given expression is

x^{2}+2x+7=21

To solve this expression, we need to pass all terms to the left side

Now, we solve the equation using the quadratic formula

Where

Replacing these values, we have

Therefore, this quadratic equation has only 1 positive solution, and the greatest solution is 2.87, rounded to the nearest hundredth.