Question

Use the quadratic formula to solve the equation. x2+7x−4=0 Enter your answers as decimals rounded to the nearest tenth in the boxes. Enter the number only. Do not include the "x ="

Answer 1

Answer:The solutions are

[0.5, - 7.5]

Step-by-step explanation:

The given quadratic equation is expressed as

x² + 7x - 4 = 0

The given quadratic equation is already in the standard form of

ax² + bx + c

The general formula for solving quadratic equations is expressed as

x = [- b ± √(b² - 4ac)]/2a

From the equation given,

a = 1

b = 7

c = - 4

Therefore,

x = [- 7 ± √(7² - 4 × 1 × - 4)]/2 × 1

x = [- 7 ± √(49 - - 16)]/2

x = [- 7 ± √65]/2

x = (- 7 + √65)/2 or x = (- 7 - √65)/2

x = (- 7 + 8.06)/2 or x = (- 7 - 8.06)/2

x = 0.5 or x = - 7.5