Question

Use any method to solve the equation. If necessary, round to the nearest hundredth. 7x^2-16x=8

Answer 1

Hello,

Answer:

S = { -0,42 ; 2,71 }

Step-by-step explanation:

7x² - 16x = 8 ⇔ 7x² - 16x - 8 = 0

a = 7 ; b = -16 ; c = -8

Δ = b² - 4ac = (-16)² - 4 × 7 × (-8) = 480 > 0

x₁ = (-b - √Δ)/2a = (16 - √480)/14 ≈ -0,42

x₂ =  (-b + √Δ)/2a = (16 + √480)/14 ≈ 2,71

Answer 2

Answer:

The two answers:

2.707778736

0.42206445

Step-by-step explanation:

Here is the equation:

${7x}^{2} - 16x = 8$

Take away the 8 from the right hand side, so that we are left with this quadratic equation:

${7x}^{2} - 16x - 8 = 0$

This equation is too complex to solve with the factorizing method, so let's use the quadratic formula, which is as follows:

$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$

In this equation, a = 7, b = -16, and c = -8. So let's substitute in:

$x = \frac{-( - 16) \pm \sqrt{ { - 16}^{2} - 4 \times 7 \times - 8}}{2 \times 7}$

$x = \frac{ - ( - 16) \pm \sqrt{256 + 224} }{14}$

$x = \frac{ 16 \pm \sqrt{480}}{14}$

And let's work out the two possible answers:.

2.707778736

0.42206445