Question

Solve the quadratic equation and give your answer correct to two decimal places: 5(x+1)2 +10(x+1)+3=0. [√40=0.6325]

Answer 1

✪ᴀɴsᴡᴇʀ✪

• $\boxed{\bf{x = - 1.37, - 2.63}}$

⍟ᴄᴀʟᴄᴜʟᴀᴛɪᴏɴ⍟

The equation can be solved as follows

$\to 5(x+1)^2 + 10(x+1)+3=0$

For simplicity put $x+1 = y$

$\to 5y^2 +10y+3=0$

Using quadratic formula,

$\to y = \frac{-10±\sqrt{10^2 - 4.5.3} }{2.5}$

$\to y = \frac{-10±\sqrt{100 - 60} }{10}$

$\to y = \frac{-10±\sqrt{40}}{10}$

$\to y = \frac{-10± 6.3246}{10}$

$\to y = \frac{-10+6.3246}{10}, \frac{-10-6.3246}{10}$

$\to y = \frac{-3.6754}{10}, \frac{-16.3246}{10}$

$\to y = - 0.36754, -1.63246$

$\to x+1 = - 0.36754, -1.63246$

$\to x = - 1 - 0.36754, - 1 -1.63246$

$\to x = - 1.36754, - 2.63246$

Rounding off to two decimal places, we get

$\to x = - 1.37, - 2.63$

Answer 2

Answer:

Step-by-step explanation