Question

Solve this quadratic equation using the quadratic formula. 2x 2 - 10x + 7 = 0

Answer 1

Answer:X=11/10

Explanation:

2x2-10x+7=0

4-10x+7=0

11-10x=0

-10x= -11

Divide both side by -10

-10x/-10. -11/-10

Answer= 11/10

Answer 2

x₁ = 5 + √11

2

x₂ = 5 - √11

2

Explanation:

quadratic formula is given by

x = -b ±√b² - 4ac

2a

a = 2, b = -10, c = 7

x = -(-10) ± √-10² - 4*2*7

2*2

x = 10 ± √100 - 56

4

x = 10 ± √44 = 2(5 ± √11) = 5 ± √11

4 4 2

x₁ = 5 + √11

2

x₂ = 5 - √11

2