Question

solve
${x}^{2} - 2x - 44 = 0$
​

Answer 1

x =(-2-√180)/2=-1-3√ 5 = -7.708

x =(-2+√180)/2=-1+3√ 5 = 5.708

Step by step solution :

Step 1 :

Trying to factor by splitting the middle term

1.1 Factoring x2+2x-44

The first term is, x2 its coefficient is 1 .

The middle term is, +2x its coefficient is 2 .

The last term, "the constant", is -44

Step-1 : Multiply the coefficient of the first term by the constant 1 • -44 = -44

Step-2 : Find two factors of -44 whose sum equals the coefficient of the middle term, which is 2 .

-44 + 1 = -43

-22 + 2 = -20

-11 + 4 = -7

-4 + 11 = 7

-2 + 22 = 20

-1 + 44 = 43

Answer 2

Answer:

Given quadratic equation is :

$x^2-2x-44=0$

The equation does not have rational roots and hence we need to use the quadratic method .

Comparing the above with $ax^2+bx+c=0$ we have :

a = 1

b = - 2

c = - 44

$x=\dfrac{-b \pm\sqrt{b^2-4ac}}{2a}\\\\\implies x=\dfrac{2 \pm\sqrt{4-4\times 1\times (-44)}}{2(1)}\\\\\implies x=\dfrac{2 \pm\sqrt{4+176}}{2}\\\\\implies x=\dfrac{2\pm\sqrt{180}}{2}\\\\\implies x=\dfrac{2\pm 6\sqrt{5}}{2}\\\\\implies x=1\pm3\sqrt{5}\\\\Either\:x=1+3\sqrt{5}\\\\Or\:x=1-3\sqrt{5}$

Step-by-step explanation:

A quadratic equation is an equation of degree 2 .

We can factorize by a number of ways but if the equation cannot be factorized club in the formula .