Question

Solue the follewing quaduatic equations using formula
2x²+5x-2=0​

Answer 1

Answer:

$2x {}^{2} + 5x - 2 = 0 \\ 2x {}^{2 } + 4x - x - 2 \\ 2x(x - 2) - 1(x - 2) \\ (x - 2)(2x - 1)$

Answer 2

Step-by-step explanation:

2x²+5x-2=0

compare equation with ax²+bx+c=0

a=2,b=5,c=-2

b²-4ac=5²-4×2×(-2)

=25+16

=9

by using formula,

x= -b+or-√b²-4ac

2a

x=-5+or-√9

2×2

x=-5+or-3

4

x=-5+3 or x=-5-3

4 4

x=-2 or x=-8

4 4

x=-1/2 or x=2

therefore the roots or quadratic equation is -1/2 and 2 .