Question

Solve the quadratic equations to give your answer correct to 2 decimal places. x2-5x-10=0

Answer 1

Pls refer to the above attached for your answer

Answer 2

The value of x up to 2 decimal places = 6.52 or, - 1.52

Step-by-step explanation:

The given quadratic equation:

$x^2-5x-10=0$

To find, the value of x up to 2 decimal places = ?

Here, a = 1, b = - 5 and c = - 10

∴ Discriminant,

$D=b^{2}-4ac$

$=(-5)^{2}-4(1)(-10)$

= 25 + 40

= 65 > 0, the roots are real and unequal.

$x=\dfrac{-b±\sqrt{D}}{2a}$

∴ $x=\dfrac{-(-5)±\sqrt{65}}{2(1)}$

$x=\dfrac{5±8.06}{2}$

x=$\dfrac{5+8.06}{2}$ or, $\dfrac{5-8.06}{2}$

= 6.52 or, - 1.52

Hence, the value of x up to 2 decimal places = 6.52 or, - 1.52.