Question

Solve the equation x2 - 5x - 10 = 0 and give your answer correct to two decimal places. ​

Answer 1

*Answer

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

Step-by-step explanation:

The given quadratic equation:

x²-5x-10=0x

To find,

The value of x up to 2 decimal places = ?

Here,

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

∴ Discriminant,

→ D = b²-4acD=b

→ (-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.