Question

Which of the following is a solution of x² + 5x = -2?

Answer 1

Answer:last option -5± √17

2

Step-by-step explanation:

Answer 2

Quadratic Equations

Quadratic equations represent any equation that can be rearranged in standard forma (ax² + bx + c( =0(a, b & c) are known.

Quadratic equations can always be solved using the quadratic formula, but sometimes factoring or isolating the variable is also posible.

In the square equation ax² + bx + c = 0

• a = 1
• b = 5
• c = 2

$\boldsymbol{\sf{x=\dfrac{-b\pm\sqrt{\Delta} }{2a} \ ,\Delta=b^{2}-4ac } }$

Let's calculate the discriminant of the quadratic equation:

• ∆ = b² - 4ac = 5² - 4 1 2 = 25 - 8 = 17

Since the discriminant is greater than zero, then the quadratic equation has two real roots.

$\boldsymbol{\sf{x_{1}=\dfrac{-b-\sqrt{\Delta} }{ 2\cdot a}=\dfrac{-5-\sqrt{17} }{2\cdot1} }}$

$\boldsymbol{\sf{x_{2}=\dfrac{-b+\sqrt{\Delta} }{ 2\cdot a}=\dfrac{-5+\sqrt{17} }{2\cdot1} }}$

Solution:

$\boldsymbol{\sf{x=\dfrac{-5\pm\sqrt{17} }{2} }}$

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• brainly.com/question/17016723