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2 years ago

Use the quadratic formula to solve for x. 4x2 +9x-1=0

Mathematics

1 answer:

insens350 [35]2 years ago

5 0

Answer:

$x=\frac{-9\pm\sqrt{65} }{8}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Standard Form: ax² + bx + c = 0
Quadratic Formula: $x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}$

Step-by-step explanation:

Step 1: Define

4x² + 9x - 1 = 0

Step 2: Define variables

a = 4

b = 9

c = -1

Step 3: Find roots

Substitute: $x=\frac{-9\pm\sqrt{9^2-4(4)(-1)} }{2(4)}$
Exponents: $x=\frac{-9\pm\sqrt{81-4(4)(-1)} }{2(4)}$
Multiply: $x=\frac{-9\pm\sqrt{81-16} }{8}$
Subtract: $x=\frac{-9\pm\sqrt{65} }{8}$

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Answer:

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The correct simplification is shown below:

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3 years ago

The general form of the equation of a circle is ax2 by2 cx dy e = 0, where a = b 0. if the circle has a radius of 3 units and th

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<h3>The equation of a circle.</h3>

Mathematically, the general form of the equation of a circle is given by;

(x - h)² + (y - k)² = r²

Where:

h and k represents the coordinates at the center.

r is the radius of a circle.

Based on the information provided that the center of the circle lies on the y-axis, we have:

(h, k) = (0, 4)

Radius, r = 3 units.

Substituting the given parameters into the formula, we have;

(x - 0)² + (y - 4)² = 3²

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Therefore, the set of values which might correspond to the circle are A = 1, B = 1, C = 0, D = -8 and E = 7.

Read more on circle here: brainly.com/question/1615837

#SPJ1

Complete Question:

The general form of the equation of a circle is Ax² + By² + Cx + Dy + E = 0, where A = B. If the circle has a radius of 3 units and the center at (0, 4), which set of values of A, B, C, D, and E correspond to the circle?

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2 years ago

I need help finding the lowest term for -8/9+11/15

Liono4ka [1.6K]

Answer:

-7/45

Step-by-step explanation:

First, find the lowest common denominator for 9 and 15. It's 45. Make both fractions over 45 by multiplying the top and bottom by the same number.

$-\frac{8}{9} +\frac{11}{15}$

$= -\frac{8*5}{9*5} +\frac{11*3}{15*3}$ Since 15*3=45, multiply the top by 3 also. Since 9*5=45, multiply the top by 5 also.

$= -\frac{40}{45} +\frac{33}{45}$

$= \frac{-40+33}{45}$ Combine the fractions

$= -\frac{7}{45}$ Answer in lowest terms

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3 years ago

Use the quadratic formula to solve for x. 4x2 +9x-1=0​

Use the quadratic formula to solve for x. 4x2 +9x-1=0