Question

Solve for x in the equation x squared + 2 x + 1 = 17Solve for x in the equation x squared minus 12 x + 59 = 0

Answer 1

The solution of x for both equations are ;

$x = -1 \pm \sqrt{15} \\\\x = \dfrac{12 \pm \sqrt{-92}}{2}$

What is a quadratic equation?

A quadratic equation is the second-order degree algebraic expression in a variable.

The standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

1.

$x^2 + 2x + 1 = 17\\\\x^2 + 2x -16 = 0\\\\x = \dfrac{-2 \pm \sqrt{60}}{2}\\\\x = -1 \pm \sqrt{15}$

2.

x^2 - 12 x + 59 = 0

first we need to calculate the discriminant,

$D= b^2 - 4 a c\\D= (-12)^2 -4 \times 1 \times 59\\\\D = -92$

Since D<0, the quadratic equation has no real solutions.

$x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}\\\\x = \dfrac{12 \pm \sqrt{-92}}{2}$

Learn more about quadratic equations;

brainly.com/question/13197897

#SPJ1