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 ="

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

x + 4/7

step-by-step explanation:

use cymath

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.