Answer:
x = - 6
Step-by-step explanation:
Given
x² = 24 ( multiply both sides by 3 )
2x² = 72 ( divide both sides by 2 )
x² = 36 ( take the square root of both sides )
x = ± ← note plus or minus
x = ± 6
solutions are x = - 6, x = + 6
The smallest solution is x = - 6
Given: NQ = NT , QS Bisect NT(∴ NS=ST ) , TV Bisects QN (∴ NV=VQ )
To Prove: QS=TV
Proof: In ΔNQT
NQ=NT
∴ VQ=ST
In a isosceles triangle, If two sides are equal then their opposites angles are equal.
∴ ∠NQT=∠NTQ ( ∵ NQ=NT)
In ΔQST and TVQ
ST=VQ (sides of isosceles triangle)
∠NQT=∠NTQ (Prove above)
QT=TQ (Common)
So, ΔQST ≅ TVQ by SAS congruence property
∴ QS=TV (CPCT)
CPCT: Congruent part of congruence triangles.
Hence Proved