Question

Use the Quadratic Formula to solve the following

quadratic equation:
2x² 7x - 3
Quadratic Formula
—
-b ±
+
√b² - 4ac
2a
Where:
a = the coefficient in front of or the number beside x²
b = the coefficient in front of or the number beside x
c = the constant
X=

Answer 1

2x² - 7x - 3

a = 2
b = -7
c = -3

x = ( -b ± √(b² - 4ac) ) / 2a

x = ( -(-7) ± √((-7)² - 4(2)(-3)) ) / 2(2)

x = ( 7 ± √(49 + 24) ) / 4

X = ( 7 ± √(73) ) / 4

X₁ =( 7 + √73 ) / 4 ≈ 3.886

X₂ = ( 7 - √73) / 4 ≈ -0.386001

Answer 2

x=7/4 +- sqrt73/4

Explanation: