Math Problem Statement

I need calculations steps for this question

Solution

The uploaded image contains the following problem:

Problem:

Solve the following quadratic equations whose roots are added:

  1. 2x2+3x+8=02x^2 + 3x + 8 = 0, if α=β\alpha = \beta
  2. x4+3x24x+x=0x^4 + 3x^2 - 4x + x = 0, if α=1\alpha = 1

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Math Problem Analysis

Mathematical Concepts

Quadratic Equations
Polynomials

Formulas

Quadratic equation formula ax^2 + bx + c = 0

Theorems

Quadratic formula

Suitable Grade Level

Grades 10-12