Da A Solve the equation 2x^2+3=0

Mathematics

1 answer:

Anika [276]3 years ago

4 0

Answer:

x = ±i(√6 / 2)

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Algebra I

Solving quadratics

Algebra II

Imaginary root i

√-1 = i

Step-by-step explanation:

Step 1: Define

Identify

2x² + 3 = 0

Step 2: Solve for x

[Subtraction Property of Equality] Subtract 3 on both sides: 2x² = -3
[Division Property of Equality] Divide 2 on both sides: x² = -3/2
[Equality Property] Square root both sides: x = ±√(-3/2)
Simplify: x = ±i(√6 / 2)

You might be interested in

Ce qui est cent fois vingt

m_a_m_a [10]

Answer:

2000

Step-by-step explanation:

7 0

3 years ago

Find the general term of sequence defined by these conditions.

disa [49]

Answer:

$\displaystyle a_{n} = (2)^{2n -1} - (3) ^{n-1 }$

Step-by-step explanation:

we want to figure out the general term of the following recurrence relation

$\displaystyle \rm a_{n + 2} - 7a_{n + 1} + 12a_n = 0 \: \: where : \: \:a_1 = 1 \: ,a_2 = 5,$

we are given a linear homogeneous recurrence relation which degree is 2. In order to find the general term ,we need to make it a characteristic equation i.e

${x}^{n} = c_{1} {x}^{n - 1} + c_{2} {x}^{n - 2} + c_{3} {x}^{n -3 } { \dots} + c_{k} {x}^{n - k}$

the steps for solving a linear homogeneous recurrence relation are as follows:

Create the characteristic equation by moving every term to the left-hand side, set equal to zero.
Solve the polynomial by factoring or the quadratic formula.
Determine the form for each solution: distinct roots, repeated roots, or complex roots.
Use initial conditions to find coefficients using systems of equations or matrices.

Step-1:Create the characteristic equation

${x}^{2} - 7x+ 12= 0$