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Orlov [11]
3 years ago
12

Solve using quadratic formula 1) y=3x^2-x-6 2) y=-5x^2+7x+3

Mathematics
1 answer:
Paul [167]3 years ago
3 0

1) Solving 3x^2-x-6 we get x=\frac{1+\sqrt{73}}{6}\,\,and\,\,x=\frac{1-\sqrt{73}}{6}

2) solving -5x^2+7x+3 we get x=\frac{-7+\sqrt{109}}{-10}\,\,and\,\,x=\frac{-7-\sqrt{109}}{-10}

Step-by-step explanation:

We need to solve the equations using quadratic formula.

The first equation is:

1) y=3x^2-x-6

The quadratic formula is:

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

where a =3, b = -1 and c= -6

Putting values:

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{-(-1)\pm\sqrt{(-1)^2-4(3)(-6)}}{2(3)}\\x=\frac{1\pm\sqrt{1+72}}{6}\\x=\frac{1\pm\sqrt{73}}{6}\\so, x=\frac{1+\sqrt{73}}{6}\,\,and\,\,x=\frac{1-\sqrt{73}}{6}

The second equation is

2) y=-5x^2+7x+3

The quadratic formula is:

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

where a =-5, b = 7 and c= 3

Putting values:

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{-(7)\pm\sqrt{(7)^2-4(-5)(3)}}{2(-5)}\\x=\frac{-7\pm\sqrt{49+60}}{-10}\\x=\frac{-7\pm\sqrt{109}}{-10}\\So, x=\frac{-7+\sqrt{109}}{-10}\,\,and\,\,x=\frac{-7-\sqrt{109}}{-10}

Keywords: Solve Using Quadratic Formula

Learn more about Solve Using Quadratic Formula at:

  • brainly.com/question/10666510
  • brainly.com/question/4460262
  • brainly.com/question/7361044

#learnwithBrainly

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Answer:

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Step-by-step explanation:

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According to the information given, building and solving an expression, it is found that she used 1400 g of flour for the cakes.

<h3>How was the flour divided?</h3>
  • Her initial amount was of x.
  • She used \frac{x}{5} to make some pies.
  • She used \frac{4x}{15} to bake some cakes.
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Hence, the <em>expression </em>is:

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She used 1400 g of flour for the cakes.

A similar problem, also involving an expression, is given at brainly.com/question/26142208

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