Question

7) Find the solutions to the following polynomial: 5x* +5x2 – 10 = 0

Answer 1

Answer:

$x = - 2 \: o r\: 1$

Step-by-step explanation:

We want to solve the quadratic equation:

$5x + 5{x}^{2} - 10 = 0$

Rewrite in standard form to get:

$5 {x}^{2} + 5x - 10 = 0$

Divide through by 5 to get;

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

Factor to get;

$(x + 2)(x - 1) = 0$

Apply zero product property to get:

$x + 2 = 0 \: or \: x - 1 = 0$

The solutions are:

$x = - 2 \: or \: x = 1$