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tensa zangetsu [6.8K]
3 years ago
10

Select the expression that has a value of 13.

Mathematics
1 answer:
yuradex [85]3 years ago
8 0

Answer:

9 − (3 x 2) ÷ 3 + 6 is the answer

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72

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Solve equation 3x=2x+5
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A quadratic equation is shown below: 3x2 − 15x + 20 = 0 Part A: Describe the solution(s) to the equation by just determining the
Triss [41]

Answer:

\text{The roots of }3x^2+5x-8=0\text{ are }x=1,\frac{-8}{3}

Step-by-step explanation:

\text{Part A: Given a quadratic equation }3x^2-15x+20=0  

\text{Comparing above equation with }ax^2+bx+c=0  

a=3, b=-15, c=20

Discriminant can be calculated as

D=b^2-4ac

D=(-15)^2-4(3)(20)=225-240=-15

The roots are imaginary

The solution is

x=\frac{-b\pm\sqrt{D}}{2a}

x=\frac{-(-15)\pm \sqrt{-15}}{2(3)}=\frac{15\pm\sqrt{15}i}{6}

The roots are not real i.e these are imaginary    

\text{Part B: Given a quadratic equation }3x^2+5x-8=0  

\text{Comparing above equation with }ax^2+bx+c=0  

a=3, b=5, c=-8

Discriminant can be calculated as

D=b^2-4ac

D=(5)^2-4(3)(-8)=25+96=121>0

The roots are real

By quadratic formula method

The solution is

x=\frac{-b\pm\sqrt{D}}{2a}

x=\frac{-5)\pm \sqrt{121}}{2(3)}=\frac{-5\pm 11}{6}

x=1,\frac{-8}{3}

which are required roots.

I choose this method because I can get the solutions directly by substituting the values in formula, and I don't have to guess the possible solutions.

6 0
3 years ago
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