Question

Mr. Hampton asked his students to solve the equation 4x2−5x=9 by using the quadratic formula. Which student set up the formula correctly? Drew Valerie Mishka x=5±−(5)2−4(4)(9)√2(4) x=5±−(5)2−4(4)(−9)√2(4) x=−5±(−5)2−4(4)√−92(4) A. MIshka B. Valerie C. Drew

Answer 1

x = 5 ± √(-5)² - (4)(4)(-9) / 2(4)

Explanation:

x=5±−(5)2−4(4)(9)√2(4)

x=5±−(5)2−4(4)(−9)√2(4)

x=−5±(−5)2−4(4)√−92(4)

x = -b ± √b² - 4ac / 2a

Given equation:

4x²- 5x = 9

4x² - 5x - 9 = 0

a = 4

b = -5

c = -9

x = -b ± √b² - 4ac / 2a

x = -(-5) ± √(-5)² - (4)(4)(-9) / 2(4)

x = 5 ± √(-5)² - (4)(4)(-9) / 2(4)

The correct formula is

x = 5 ± √(-5)² - (4)(4)(-9) / 2(4)