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algol13
2 years ago
7

Simplify

\sqrt{3} \times \sqrt{21} " alt=" \sqrt{3} \times \sqrt{21} " align="absmiddle" class="latex-formula">
Please Help​
Mathematics
1 answer:
Sergeeva-Olga [200]2 years ago
4 0

Answer:

3 times sq rt 7

jdjdhdmdhdkxnd

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What is the solution of quadratic system of equations ?
kobusy [5.1K]

Answer:

(- 1, 1) and (- 5, - 35)

Step-by-step explanation:

since both equations express y in terms of x, equate the right sides

x² + 15x + 15 = - x² + 3x + 5 ( subtract - x² + 3x + 5 from both sides )

2x² + 12x + 10 = 0  ( divide all terms by 2 )

x² + 6x + 5 = 0 ← in standard form

(x + 1)(x + 5) = 0 ← in factored form

equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

x + 5 = 0 ⇒ x = - 5

substitute these values into either of the 2 equations and solve for y

x = - 1 : y = (- 1)² + 15(- 1) + 15 = 1 - 15 + 15 = 1 ⇒ (- 1, 1 )

x = - 5 : y = (- 5)² + 15(- 5) + 15 = 25 - 75 + 15 = - 35 ⇒ (- 5, - 35 )

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