## 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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2 weeks 2021-09-12T05:33:56+00:00 2 Answers 0

(a) 1

(b) 1

(c) 3.03

Step-by-step explanation:

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

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.

## 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.