Mathematics: Use the quadratic formula to solve the equation. if necessary, round to the nearest hundredth. 5y2 − 8y = 2

Use the quadratic formula to solve the equation.

Ответ:

erieannapickett12

14.03.2022

Mathematics

The solution of 5y² − 8y = 2 is 1.82 or − 0.22

Further explanation

Discriminant of quadratic equation ( ax² + bx + c = 0 ) could be calculated by using :

D = b² - 4 a c

From the value of Discriminant , we know how many solutions the equation has by condition :

D < 0 → No Real Roots

D = 0 → One Real Root

D > 0 → Two Real Roots

An axis of symmetry of quadratic equation y = ax² + bx + c is :

$\large {\boxed {x = \frac{-b}{2a} } }$

Let us now tackle the problem!

Given:

5y^2 - 8y = 2

5y^2 - 8y - 2 = 0

$\text{Let} : a = 5 , b = - 8 , c = -2$

We will use the quadratic formula to solve the equation.

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

$y = \frac{-(-8) \pm \sqrt{(-8)^2 - 4(5)(-2)}}{2(5)}$

$y = \frac{8 \pm \sqrt{64 +40}}{10}$

$y = \frac{8 \pm \sqrt{104}}{10}$

$y_1 = \frac{8 + \sqrt{104}}{10} ~\text{or} ~ y_2 = \frac{8 - \sqrt{104}}{10}$

$\boxed {y_1 = 1.82} ~ \text{or} ~ \boxed {y_2 = -0.22}$

Learn moreSolving Quadratic Equations by Factoring : Determine the Discriminant : Formula of Quadratic Equations : Answer details

Grade: High School

Subject: Mathematics

Chapter: Quadratic Equations

Keywords: Quadratic , Equation , Discriminant , Real , Number

Use the quadratic formula to solve the equation. if necessary, round to the nearest hundredth. 5y2 −

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Ответ:

ausemkattom3034

25.04.2020

Mathematics

the numbers are 23 and 38

Step-by-step explanation:

(a+b=61) - (a-b=15)

2b=46

b=23

a+b=61

a+23=61

a=38.

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Use the quadratic formula to solve the equation. if necessary, round to the nearest hundredth. 5y2 − 8y = 2

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