Please help me so confused Solve. x^2 + 3x − 7 = 0 Enter your answers, as exact values, in the boxes. x = or x =
2 answers:
Answer:
x = -1/2 ( 3±sqrt(37))
Step-by-step explanation:
x^2 + 3x − 7 = 0
Add 7 to each side
x^2 + 3x =7
Using complete the square
Taking the coefficient of x
3
Divide by 2
3/2
Square it
(3/2)^2 = 9/4
Add this to each side
x^2 + 3x+ 9/4 = 7+9/4
( x+ 3/2) ^2 = 28/4 + 9/4
( x+ 3/2) ^2 = 37/4
Take the square root of each side
x+3/2 = ±sqrt(37/4)
x+3/2 = ±sqrt(37) / sqrt(4)
x+ 3/2 = ±sqrt(37) / 2
Subtract 3/2 from each side
x = -3/2 ±sqrt(37) / 2
x = -1/2 ( 3±sqrt(37))
Answer:
-1.5 -√9.25 or -1.5 +√9.25
Step-by-step explanation:
x^2 + 3x - 7 = 0
This will not factor so we can use completing the square:
x^2 + 3x = 7
(x + 1.5)^2 - 2.25 = 7
(x + 1.5)^2 = 9.25
x + 1.5 = ±√9.25
x = -1.5 ±√9.25
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Step-by-step explanation:
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