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shutvik [7]
3 years ago
7

3) Solve each equation using the quadratic formula. Show a. x2 – 3x – 10 = 0

Mathematics
1 answer:
Naya [18.7K]3 years ago
5 0

Answer:

<h2>x = -2 or x = 5</h2>

Step-by-step explanation:

The quadratic formula of a quadratic equation

ax^2+bx+c=0\\\\\text{If}\ b^2-4ac>0\ \text{then the equation has two solutions}\ x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}

\text{If}\ b^2-4ac=0\ \text{then the equation has one solution}\ x=\dfrac{-b}{2a}

\text{If}\ b^2-4ac

We have:

x^2-3x-10=0\to a=1,\ b=-3,\ c=-10\\\\b^2-4ac=(-3)^2-4(1)(-10)=9+40=49>0\\\\x=\dfrac{-(-3)\pm\sqrt{49}}{2(1)}=\dfrac{3\pm7}{2}\\\\x=\dfrac{3-7}{2}=\dfrac{-4}{2}=-2\\or\\x=\dfrac{3+7}{2}=\dfrac{10}{2}=5

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Consider a $2 principal investment with a 10% annual simple interest rate. Enter the simple interest equation that represents th
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The simple interest equation that represent the situation is A = t/5

<h3>What is simple interest?</h3>

Simple Interest (S.I.) is the method of calculating the interest amount for a particular principal amount of money at some rate of interest. For example, when a person takes a loan of 500 dollars, at a rate of 10 per annum for two years, the person's interest for two years will be S.I. on the borrowed money.

Principal(P) borrowed =  $2

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After reducing 20/100 to the lowest term

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In conclusion the simple interest(A) = t/5

Learn more about simple interest: brainly.com/question/20690803

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