x to the power 1/2 +2x+3=0 what is x, explain in steps
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Hi ,
√x + 2x + 3 = 0
2x + 3 = ( - √x )
( 2x + 3 )² = ( - √x ) ²
4x² + 9 + 12x = x
4x² + 11x + 9 = 0
Compare above equation with
ax² + bx + c = 0 ,
a = 4 , b = 11 , c = 9
Discreaminant ( D ) = b² - 4ac
D = ( 11 )² - 4 × 4 × 9
= 121 - 144
D = - 23
By quadratic formula ,
x = [ - b ± √D ] / 2a
= [ - 11 ± √ ( - 23 ) ] / 2 × 4
= [ - 11 ± √ ( - 23 ) ] / 8
I hope this helps you.
: )
√x + 2x + 3 = 0
2x + 3 = ( - √x )
( 2x + 3 )² = ( - √x ) ²
4x² + 9 + 12x = x
4x² + 11x + 9 = 0
Compare above equation with
ax² + bx + c = 0 ,
a = 4 , b = 11 , c = 9
Discreaminant ( D ) = b² - 4ac
D = ( 11 )² - 4 × 4 × 9
= 121 - 144
D = - 23
By quadratic formula ,
x = [ - b ± √D ] / 2a
= [ - 11 ± √ ( - 23 ) ] / 2 × 4
= [ - 11 ± √ ( - 23 ) ] / 8
I hope this helps you.
: )
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